{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1 1 3 2 1 2 3 5 3 3]\n",
      "0.03135\n"
     ]
    }
   ],
   "source": [
    "# 伯努利分布\n",
    "import numpy as np\n",
    "# 同时抛掷5枚硬币，出现正面朝上的次数--试验10次\n",
    "print(np.random.binomial(5, 0.5, 10))\n",
    "# 同时抛掷5枚硬币，则5次同时为正面发生的概率 采样size=100000次\n",
    "print(sum(np.random.binomial(5, 0.5, size=100000)==5)/100000.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UjyFuIz4Gh8PhcDhHGn6vV3W93/Jl6Lt4EbQRTtxFqF2a8LtccOzYIQ1u1HaxTMkhTSElJCRgaGBolEh8fDzzfBHX33jjjSyVk5qaykTJ3XffzYTHhAkT2O2nnnoqEypXX301XnzxRVbv8thjj7HCYIqiELfddhvefPNN/OMf/8ANN9yA33//HV9//TV+/vnnznvlHA6Hw+F0IdyVlarrlCKKBm3g2EmUXHMtu/S14+R7JNDps5Co1Vmr1TIDO+oMou6ht99+W7pdp9Php59+wu23386EDQmga6+9Fk899ZS0DbVQk1ghT5nXXnsNeXl5mDFjBnssDofD4XCORJRTp7Meeyzq+2nCRVqCojlHIho/VfwcgVARL3UjkTcNr4fhcDgcTlen7J57YfntN8SOGIGeX33ZofvuGDYcfrdbtW7Qju04ko/ffBYSh8PhcDiHGE9tLRMvhCau7ZqXaKIwsWPG4EiHCxgOh8PhcA4xzoICadnb3Nzh+2sVAkZjMiH31f/gSIcLGA6Hw+FwDjHO3QoB06D2geloBKbb44/DkJmJIx0uYDgcDofDOcS4y8uk5cwHHtivCIwhNxdHA1zAcDgcDodzkKH+mdo33kTT7O/Ysm3FSrY+5YrLkXT2WfsVgdHGyG3VRzKd3kbN4XA4HA6nbRxbtqDurbfYskavg3PnTrZMHUj7glbhBaMxGnE0wCMwHA6Hw+EcZFxFRdJyxT8ekpZ1qWn79HgahVsvFfEeDXABw+FwOBzOQcZZsCfsel2U7rvBKNNGXMBwOBwOh8M54G3T7Q1ujAZNjCICYzg6Uki8BobD4XA4nIMETYquf/8DWIMGFhO5/3kFhqx9a3/WGAzSstbEBQyHw+FwOJxOpO6991A//Z2Q9Ybu3ZF45pn7/sAaxSIv4uVwOBwOh9OZOLZtC7vekJOzX4+r0cqHcy5gOBwOh8PhdBruykrYFv8V9jZtfPz+PbhGIWD0R0dyhQsYDofD4XAOAvUz3o94m1bRBr1PaBU5pKMELmA4HA6HwzkI+KzWiLdp4+I6LYV0tHD0vWIOh8PhcA4B7urqiLdp42I7LYV0tHD0vWIOh8PhcA4BntraAydAtEff4fzoe8UcDofD4XSQ2tdfR8GJJ6H0zrtUJnQ0iJH+2qN5zk9w7Qnvvssex+fdvx3U4KiDCxgOh8PhcNrA7/Gg7u3/wV1RwQzoiq+6Wljv9aLwwgtReM658LvdbT5GxYMPSsup11/PLpMvv0zewLN/AiZ+wgQcbRwdvVYcDofD4ewjrsJC1XVvU5OwvrgEzm3b2bJz717EDBgQ9v7BEZrMB+5H4lnTENO/P5q++LJTIjDmqVOR9/ZbMPUPvw9HIjwCw+FwOBxOGzh27AwrSpy7dknXnbt2R7y/t75edZ18WmKHDFHZ/8O7fwJGo9Eg4cQTYczLxdECFzAcDofD4bSBc+eOsDONnHvlmhblcjCemhppOW/6/1S3JZ17LrtMve66TtrbowcuYDgcDofDaQPHTjnSImKZNx8uRTGvt64u7H0pUlN4wYVs2dSvLxJOOEF1e/bzz2HA2jUw9enT6ft9pMNrYDgcDodz1NM0+ztWiJty6SUhtzl3hEZgKh99VHXdU6dOE4n4bK3SsruyKmzqR7O/YwSOUriA4XA4HM5Rjbe5WRIk5inHw9Ctm3Sbp6Ghbf8WcbugOheR5u++i8qJl9NxeAqJw+FwOEc1yiJdZWGuMvqiz8lu8zEipZCqn3lGWk445ZROcfOtfeNNeC0WHO1wAcPhcDicoxrnDqEVmnDs3Bm2/iV2yFBkPvRQxMegSE0wvlY5fUR0e/KJ/d7X0ltuRd1bb6HysX/haIcLGA6Hw+EcdTAHXY8nJALjCapTESMwpoEDkHb9dUi94QbV7TEjhguP53DA73Kpbiu97XbVdX1q6n7vtzMgsCy//YajHV4Dw+FwOJyjjsZPP1Old0Q8QakgMSITM3Agu9QlmFW3J55+BhwbN7Flr9UqiRS/z4fWVauk7XL/++p+77MvSCAd7fAIDIfD4XCOSCjC0vjV13BXVsrrfD52GU68BBfjUkTFGZhfZBogCBhtXJz6Dj4vtIEuIl9Li7TaXVqq2izx9NP3+/Uo27ah0bBRBkczXMBwOBwO57Ciec4cOLZta3e7unfeQdW//43igElc9UsvYcfgIdh17HER7+OpkzuOnDRCwO2G1myGITdHWKlTJy5I5GgTE9mysrDWsV1uvY4/LvLzdQTHdrlWB34/vGHqbo4muIDhcDgczmGDdfFiVDz4D8kcLhI0m6jxk0/Zsru4hF02vP9Bmx1Dwm1yBMYRmHMUM2gQ82shNDr1YTPpnHOgMwtpJZ9SwAQKg8m8LvfV/6AzUIqicOmuow1eA8PhcDicw4bWdeukZYp46BISQrZxlZRg75nTVOssf/wR1ePTiAAytKM5RWKUJ2bwIHkDnU5a7L9qJXSJiXIEpkUWMM6A2Ei+7DJJ4HRqBAaRzfOOFngEhsPhcDiHDe7yipCOnGBa18oiR6Ts9juifg4qxiVkATNYui1+3DhhQatl4oUQRZTXItfAOALdSzGD5PvuD1S7I3nSZGSwy6M9AsMFDIfD4XAOG5S1L+4KWcwoC3crH3lknx5bLNClYlwmGAIRD6WAMfbsiV4//oB+fy0OvZ/Nxi49jY3wVFezQltT//7oDNxlZezxNUYjYkePZuu8zU04muEpJA6Hw+EcFvjsdriosDaApzY0AuFUdup0EEoFkfkcpYL8xcVsWWMywdirl2q7mCBRoomLlbxgCHeJUHOjz8qCztw5c47EehxTv37QpaawZZ8iZXU0wgUMh8PhcA4LWMoo0AZNKGcUuWtqUPnIoyrvlY5gojoXtweeqir4LC1wlRQL6wcOgEbf9qFSGxsnFQ4XX3sdWleuZNf1mZnoLKSi4EEDoUsI7Xo6GuEChsPhcDhdFkqbVPzzMSSccjIbuqhEWQNS/867sC1d2uHH77twARMescOGofTOu9g6isCESx9FQhsrRGBafpyjWt+e8OkIYlEwdUT57fYQ35lw+BwOwe9Go2WvI+WyS3EkwQUMh8PhcLos9e9/AMuvv7K/5IsvYusMOTms/oUEDKWMGj75FE1ffRXV4xlyc+EuL2fLSRdcwK7TX3AxrlTAO0jRgRQBbSCFFIw3woTqfUE01KP0lXOvkEZrLwJTP+N9NM36RroeM2QIYocNxZECFzAcDofD6bJQS7SILZAeips0Ec3ffAtvSzOKrriy3UiESN7bbyF+wgSWeiJBED9xoup2yVHXZoNjq9iBNCTqCEwwxt69sb80//Qz4PWwIl5Cn50tRZ58bbzu5h9/RMMHgu+NiGPL5iNKwPAuJA6Hw+F0WZSdRqIhXfz4CezS19wS8SCe/9FHrAModswYaZ023sw6how9eiDhxBNDhIcYSXHt2Sukq/R6mPr3a3cfNREETLfH/on9gUYgVPz976h46GFpHbVQy74zLWHvR+Ks4h8PhUzDdpUKIuhIgQsYDofD4XQ67upq2FYIxaz7Cs36Ef1URLQJCZKxXLg2apH4CePR+8cfkHHXnSERlkiI7dCta9awS1PfvtAaje3up1jEG4yYmtpX7Js2hz6XyQSdIlLUVsdSMFSgfCTBBQyHwzkkWKw7sHTpcSiviK52gXN4UXT55Si57jpY96GwVsRVXAx/UBSBalJ0SUnCFb+/3ccQoxVsOT680AiOpIit2tEU8LZVA7O/4q38nnvC3qYJCCZfoJg3mEhzopRdW0cCXMBwOJxDwp49L8HhrMCOHY8e6l3hdDI+lwueCmECtOW3ee1uX/fue6h65ln4gwSJY+vWkG2NfXqzKEy0iG65hDYuvkORlGgKeIX77buAoTRQ6R13ouWXX9TrwwxqTDzzTJUQ8wWJu7betyNRwPAiXg6Hc9Dxeh2or/9Tuu73e6HRyDNmOIc3zt27pWVvU1O7tv21/xGGHSadfRZihw9nQqb4yqtgV8w9EtGZE1gahWYV0cyicCQr2oXFtJCwHNshIRIzJLoITLgamPS7hJbs9qh76y1Yf/+d/SWecYa0vuiyy0O2zfrXY6r99DsczDFYo5VjEXT9aInAcAHD4XAOOsXF01XX7fZSxMX1PGT7w+lcxDbl9upUCOXB1rlrFxMw5GSrFC8xQ4fCsWWLqo6FLPWDBUz88cch84G/w9RH7v7Rp6Uh9dprma1/uMGPSlQpJo0GMQMGtP9ig0RS4jlnI+Ouu2Do3j2q+zqLiqRliqjQY5GAU76HIuL+K4WW326HRlHbQ++dLzDLKRiqmaG00/5EjLoSPIXE4XAOOlabegif03VknRkezfhdLpT/7Z6oz/qdu+RojWPXLnZpD4gVEWN+fmghrmIqtEjy+ecjZkD/EAO5rEceRtbDD7W778oDO808aq/oN9z9tKYYtr8ajSaq+3qqa0LGINTPmBF2W/F1aWJimMAKVwdjD5M+6jlrlrQcqXPpcIQLGA6Hc9BxudT5fZez+pDty+FA3XvvofJf/2KFnV2d1nXrVdfJsyTcflOXUtM33zC/kuCDuWOL+iCsjGZIERiFQOi/ZjV6fPE5Ek4/fb/2XZkKEic+d1TAUGQoWsgpVzm7yVNTw6Ivta8IKTUiZsTw0P3UaqV9Da6Dkfxrhg2T1pH3iy5FmJ8U7GZ8OMNTSBwO56DR2LgKXq8Nzc1Cm6oIj8BEhs6wxQMa1UjET5qErkz1iy+oV3i98DY2Qp+erlpdcsONcAXcZYOjNWK6SMTYPa/NCIzObEbcqFH7ve/KIl5NjCnq+4ldQcIVWVi1rl7NxJehW7ew93PuLgA8HtU8JxIxSnp+8gmsS5bC2CM/aF9j4W1tlSIwVDhd88KLaPzsM3adxgYYHngAhryAy3BiIvt/iNb073CACxgOh3NQ8PmcWLdeXZiYkXEqamvnwckjMBFR+qA4C/Z0aQHjqa+HM4wHCUVhlAKGogzB4kWKQFARalAaxNA9TApJUbjaWShrYCgVFPX9YhXbBoZNkmtwyTXXsoGO/RYvCns/V5E8WVsUcErxRmksiugknDg19Dnj4tioAjEC0zJnjiRexA4qZRu4NtB6zlNIHA6H00EsltADmzl+ILt0uxsPwR4dHihrRJTdPV2R5u9/UF2nAzDhbQoawlgdXrDSAZw8WILTIsoIjEYnHLairTHpCKpUENWZRIlGEQ3y+wUBY1mwQBJl4fxaaI5RxYP/UK2jbZX1P/nvz2h3X32B96rxS7WfUnAKTGwn9zZzAcPhcDhRQ2fca9ZeGLLeaBTOyj3uIycv39kohxQGpxe6WvFuzUsvSddp8KJUd9Gi/v8NThFJj+F0srRLcGePPitL3sbrO3ARGGUxbgdSSCp8gpeNp0ZOiwa7CRO2FStC1nkbGqWp09Qy3ZaTr1ZspbbbYd+0CY7NatdeMeISLGB8Fi5gOBwOJ2qczlAL84SEYTAYhB9Zt+fI+VHtTCwLF6rajN21XVfAOBSRIiLzgQckx9zgugv7ZrWASbvpRubrQtgCzr00KTrl6quRcd99LMJhnjIFhrw8xI0dc8AEjEYhmsT96ShUJOtpbFQJCnd5aCs5tYwH42mol16/svMqHFrRzI4EzIaNobcHFROL5n/elrYnWB9O8BoYDodzwLFYQme6DBn8HzgcgteFx8MjMOFo+e031XXlWf2hgopFw80HcmyXhZaxbx/okpOhSxLTFkERmKBogc/pYhEDb10dbMuWS50zSeeeK22TN/1/rL5ETNcozds6C2XUh2px9gXLr7+yPyXhImcOhYhLv/NOZmjn2LhJWqfPlKNObY4TsLXCsTM0whOMNGnbHt6993CER2A4HM4Bh4zqgqHoixSBcbft1nq04m1Uvy9UtBnJffZg0PDxx9g5ekzY+Ub2wABEIjfgrKtNTAqpu6B0YrBXCTnKStGawIBCY69eqm2o5kVZa0LRmM5G1QIdSAV1BsEChr0HARHXfcYMmMMU6eoz227j1oo1MHY7HGGGPkYSZ5HGDxyOcAHD4XAOKE5XHXYXPMuWzfGys6lenwi9XjhoeY7CFJKrqAg7jxmHmldekdY5du5C07ffsgMc/YmRCp3YweP3HzQfD9uyZSF1GtXPPsfafsvu/ltISqj5B8HPJeOevyGmf3914aiiBoa18gZeg+hxknzhBaqZRcF1L+HIfuYZxB97LPI/eB+dhaowOFCMGy0pV10Z8TZPjbpomV4/iVEibsxo6JKSQ+5DEaxoBIm3oR7OQEeXsU+fdrcPHo55OMNTSBwO54BSUiJ3UqSnn8RceLXaGGi1BikC4/W2wudzs3VHC7VvvQ2fxYL692Yg4/772cGzMJAyoQ6Y2BEjhDlCBgP6/r4Qu487XjjwNTeHeKrsC36Ph3X9GLKzQ26jGg7yaSH6r1rJxIVSzCgPgu6qKlS/8Lx0ndqGRXSJQt2Fr8XCWqmLr7kWrr17hduSk9Hj449ZdMLYvbs8YVp8nLS0NvffmJeL/Bnv4UDR0RSSqY2xA57aOtX1+o8+YpdU5EyRFDHVJpJ03nntdllpAxGY1tVrWGqNBF/ef19F0VVXI/2Wm4+KCAwXMBwO54Dicsrhc53ejMmTlkCnE358dTrZqp1EjFarPogdyVAkQsS+YQOsf8peIa0rV0Ef6OChYk6qOaEDvCBgQqNVtpWr0LpmNdJvu02VZmmLqqf/j3U45X/0IeInTJD3ZdMmJqpEyJMlfuJElNx0c9hW4IITT5K8Twiljb9cd2FnrruieGH3bWpiQxlJvBDBB/HgcQAHHbHbKQpI8FX96/HID6UoYqZurfrp76g+A1qzWbV9zvPPtfucmsBgSvrsEDHDhsLUrx/6L18Wtj5IHGRJNTNHClzAcDicA4rFKhd3ZqSfgpgY+YyfIi5arRE+n4s59IoRmaMBpadL8eVXqG6jQX5iBMQQSKVQFISqX7zNofVCJTSsMBD9SLn44g61Z1c//wJ6f/+dtL7oEnmSM0FdUCRglI6xhNdqE9qhgyIV5qlTQ9McjY2o/e9rbe6PNl4+iAdHYw4JbaSQLH/8wVqcKVVGYxKaZ89u86GUaT/HTvUcsH31tNEqCo4JEi9tFTdrj/YamP/9738YPnw4EhMT2d/EiRPxyy+/SLc7HA7ceeedSEtLg9lsxoUXXojqIMOikpISTJs2DXFxccjMzMSDDz4IT9AX488//8To0aNhMpnQt29ffBQIt3E4nMMLj8cKm02Y9TJmzNeIj5enBIuIURiPVyjePBqgOUCRzNzE+pNgxIN6cA2Mp0GeK6VsuW6L+g/l31RxP2gmUcPnn4fua0Ulm9kTur4cJdffoFrXc9bXqloWsS1ZjBIoSTzzTNV1ZRQi739v41BjGjgo7HoaOFl2+x0oPOdclmYiwVfz0svRC5jtsqFj3PjxnTL2gDB0C00FKjnqBUxeXh6ef/55rF27FmvWrMGJJ56Ic889F1sDFeX33Xcf5syZg1mzZmHRokWoqKjABRdcIN3f6/Uy8eJyubBs2TLMnDmTiZPHH5dDb4WFhWybqVOnYsOGDbj33ntx00034begdkIOh9P1sVioVdSPGFMOkpMC/h1B6HSBs3TvkfPD2h72jaG+HSr8/hCBEtFTRfFY7tIyebmmBmV33x22Y6jmhRdU5nFUBFrxj4dQ/dTTIduSPf3OkfKcIV2gNsW2dFm7hafBUQIl3Z74t3pbxeTn4JTKwaTnt9+wmqTUK9VRMRHLb/NU6bXgsQdKyMxPNJuj9nMqzG6Y+bF0e07w3Kh9NN0j9Fly7dHRImA6lEI6++yzVdefeeYZFpVZsWIFEzfvv/8+Pv/8cyZsiA8//BCDBg1it0+YMAHz5s3Dtm3bsGDBAmRlZWHkyJF4+umn8dBDD+GJJ56A0WjE9OnT0atXL7wSqMyn+y9ZsgSvvvoqTjvttM587RwO5wBSUvIBCva8yJYTE0dE3E4SMJ6jJwLj2CT7fbQHdfUQWslTJUjAKB7LUy0bBta9+RYs8xewv0E75LN+y59/qu5PB7Syu+6Oen9M/fuhdXm9ZJWvJDj1o42TRUnItkFdRyoB04bwOdDEDhnC/iLNeiK/FpGiiy9R3d7t6aeQMHUqi7C5S0pgPuEENH3zLROkVL/UunatNAOK/l/F9OC+oA3UtIjo09tuu9YcgQJmn9uoKZry5ZdfwmazsVQSRWXcbjdOPvlkaZuBAwciPz8fy5cLxkR0OWzYMCZeREiUtLS0SFEc2kb5GOI24mNEwul0ssdR/nE4nEMD+brsLngGfr/gWZKQMDTitmIK6eiKwAiiQzlsLxJ0QCR0YkFswCdFxKGMwFRVy0WzX38tb7NzJ9yVlWy57LbbQ56D5g9Fixhlsa9dG3Kb6Pa6L0JEuW1wdKEr4CwsVBU3h8PUqxfrECMBRJPD6XVopRlEzbAs/D3qNun20AQNmxTnTkVCFJNHtYDZvHkzq2+h+pTbbrsN3333HQYPHoyqqioWQUkO+k8hsUK3EXSpFC/i7eJtbW1DgsQeZiCWyHPPPYekpCTpr3ugsp3D4Rx8WlrUKRKTKfLZ4dGWQqKiT9HILX7K8W1uS/Nw2jqDphoMu8LEjNqy6famWd+oHqfw3POw9+xzWApDRQc7feKPOy4kyhI7alTEYlRlVIWs/1NvEGpmxIO6Eo1e12UFDL1ve884Ew3t1GOGKz7WBdJhPqtVVfe0vwJGq5iAnThtGnTm+KhGD5BpIH0Gj0oBM2DAAFabsnLlStx+++249tprWVroUPPII4+gublZ+istDXX+5HA4BwerVW1tbjAILcHh0EsRmKMjheQsKGA+KhRxiBs9us1tU66Q6zDCRWDY5GarFZrYWGl6MvNleVYwDlRC2yknW+tzsmHsoJtt7ssvhRx4sx5+KGI0STxoCi9Ah4y/3Y3Mhx9Cr1lydEhCo92nSdAHA08getUe4USJ1IllsUqTpuPGjUNCUKZhfyIwxh5tz01S7gcRbjr2UdFGTVEW6gwixowZg9WrV+O1117DpZdeyopzm5qaVFEY6kLq1q0bW6bLVatWqR5P7FJSbhPcuUTXqesptg1VThEh+uNwOIcWn88p1b6I6Ntojz4aupDIB6Tsnnvgs9rgDpxcxQwbBl1KqrRNwhmnw11couokUkY0wkVgpFTUkMHwVNewx2756eeI+yEa5RF9f/0VexVNFkqSL7sUrqJitAY58VKEQekaa+jenRnu9V20KMTHJSSS4vNBGxODtOuuC79zWsVrPQBzjvaH4C6quLFj0aoYndBWBEaMQtk3bRSEa3w88j/8IGq/nkhoFdOyg9NJEcck0HN6vawQ2We1IOWaa/aphbursN+fEp/Px+pPSMwYDAYsXLhQum3nzp2sbZpqZAi6pBRUjWIuxPz585k4oTSUuI3yMcRtxMfgcDhdm6Ki6SHrDPrIERid/shPITV9Oxuty1ew0QDMXZdEx9Ah0CXLB7zUK65Ar9nfsmhKOMJFYBxbhPRR7PAR0tl/3dvRtSDTAU2jC38Om/3EE+jx0Yfh90NxkDYFTmYNWZlMnIQ8h/Ig3U7aInbESHRFbCtWonHWLNU6Yz/hdRMJiuYS1SyloMiHLVDHScI1nHhJu+UWdkkTuKNBo3i/NSZj+9trNNK+VP7zn6h+7nnYloR2qB2xERhK05xxxhmsMNdisbCOI/JsoRZnqju58cYbcT+1n6WmMlFy9913M+FBHUjEqaeeyoTK1VdfjRdffJHVuzz22GPMO0aMnlBdzZtvvol//OMfuOGGG/D777/j66+/xs8/Rz6r4HA4XYemJnWUlTAYkqOogTkyIzDkvKpsWxahDhTVGXugHoUObuHGCIoRmNZVq9D49des66RlruDDZerdC85du0Kfo0c+i+pEItjt1jRoEFIuCW+EJ7ZPK0VXZ7Y702iA3nN+3O/akM5O95WEiRgZe/SQl3v3Qq/vv4PWrC5gDonArBGKnmOHC/OfgqGupIRTT0XMwMgjCVSPazKFXW7zPnFxrE5K6UljPu5YHBUChiIn11xzDSorK5lgIVM7Ei+nnHIKu51anbVaLTOwo6gMdQ+9rTgb0Ol0+Omnn1jtDAmb+Ph4VkPz1FNPSdtQCzWJFfKUodQUtWfPmDGDt1BzOIcJ7jCDGdty2D3Su5Ba5s8Pu54O1EoBIKZbIlnoK2sYqh5Xe6jou2WHPfBTVIfOtINJvyPQiaQonCXy33s34pylXt8IUQidotOos9udRTfZrkJrQHS0JWAoMhYzcGD0jrl9Qs0cReEaOzR8+3a7ERhj+xGYcPviDOMKfMQKGPJ5aYuYmBi89dZb7C8SPXr0wNy5c9t8nBNOOAHr16/vyK5xOJwugNW6E9bA6IBePf+G2Nh86PXx0Gh0UfjAHJkChs7iw0GCg8L6VNTqqayShgHSmXjVk08h6aILI3f0BGHoFhTNAZD59wegS5VrbERiR45E+t2C74tGLw/PzHjg/hDxEj95MmxLlyLnlZeloY/hRNeRij2QogvGkJMjX2lv6GLQ/xuJzc5Auw+FzsEChgq+D2f4LCQOh9NprFwl28N37349DIbQws6jLYXkiiRgAsMag4taky+7jBWJGnv1Uq1vK9oRHIEx9u3DCjSDi3DZbX16S4Wb5mMnMz8XSk+l3xw6rDHv7bdYp5Ny0rJKwBxCw7mDgX29ung38ayzmCmdqX9/aZ3frR6F02YnFomfbKFhZX/RKAVMcHt8pH0JEpweLmA4HM7RisNRifUbrkZ2twuQn68+AOr14WsCIrdRH3kRmNb165kTbjgi1XqQuAiXSokUgdFnZDAPEF2i/H6nXHKpMME6zHOIviRE6o03QpuUBPOx4esgqLYiOD2iFDBdrd25M6Fia9E1VyTnhedDCnD9Xk/HIjD74b6rRKPYjxB/n0j3CRJTNG6CvIS6WtdXtByee83hcLoERcVvo7W1EHv2vgKrVbar12iMUbdnihEYzxEoYGi+kEjyJWrb+Y4Wq0ay5c9+9hnhdkURqXjWH+45NAY5bUQih+pkjPnt+4jIj63Yj6BJ1EcSyhEN4URDXKA5Jemcc6J3GI6Li7rgtkP4o4zAxASl/NxueBXDQA83eASGw+HsMw5HhbRcVfWDtDx+3E9RP4acQrLiSKH6xZfQ8MEHYbtMvM1NTAQoi2H3ZfaNiFj7Ei61E2ztH03Ko939UBSM+n1HhqNrOOybw9e/iOTPeI+ZA7YnRJWCL+vRR3BA0Gj2uW7G29gYsXC7q8MFDIfD2ScobG2xyJN4q2sE0dKr1z2Ij+8T9ePo9OYjKoVEIflg8UJQQS3VnOwrkcL84gFSq7CSFwWMPiUF6XfdxZbr3nxT2L/OtJH3RXfmf7jh93hQ94bwftH756mpQfykSaptqFssmiiaMgKjCY6A7CdJF1yApsWLsTszE+Oi2D5cyk/0JQo3uJLEjej10xXhKSQOh7NPOBylcLlqpesuVx27jI3p2BwynTb2iBIwzt2hRbs9Pv2k0x1PKSWVdvttMPXp02Z7c8Zdd7I/iU7cD42u/UOIaNCWdtutOFyof+89adnYPQ/ZTz2JxNP3zcpDNWVbMb+oM8h6+il8fdKJmPvHH9I8wTb3RSFg9AH3e09DY9htS667HnvPOpt5xXRVuIDhcDj7RFNTeI+MmBhFi2kU6HSigDky5rPY168LWUfuq50JtULTQTXznnvCF9eG6Q4iIUFRoLQbrt/v50+7+SY2RoA6ptoj49570PunOcj4299wuKAchrm/bc/qCEznCpglS5ZIgrS8vLzd7TWK+hsyUmT3u+cetK5erdrOXV0D525hblbz93JquKvBBQyHw9knmlvWd4qA0WqFH3WfzxF1N0VXxh7kYUUTpTu7cNPvDy2e1cYr/VlCBUzm/feh39Ilkp/L/pD5wAPoO38eS1FFk/qiNMSh6nSpr6/Hp59+GtUBXpkGFDHk5u7X86sjMJ2XQvJ6vfjjjz+k69FEYJTRNzECQxRfq27lLzz/fGm5YeZM7BgxErYwLfmHGi5gOBxOhyGh0dgo/KClpKjnlJlMHWsT1enks1Kfz4XDibrp01Vzcqi+xLposWobfcCCv1MJU3tCrdQiGsVgRCWH8+C+fYVG0RQUFODjjz+OavvWdeskf5Ssf/6TjTjYH1RdSJ0YgakOGnrc0hLqgB2C4r9fn5UpXwkINnd1NStAD+5M8judKP/7g+hq8CJeDofTYcrKP0Vrq+CRkZAwFI2Ny6UCXq02Olvz4AgM4fPZodN1zanyHvpRp4F4MTHsTNq5dy9q//sauy3xjDOZgKDaidCiyIMjGihtRIZzNK16f6MGRxLigZ7G25Dwbk/EFV9xpbSccsXl+/38ygiM5gAKmObm5vbvpHjtwQXI9N5UPPD3sFO2CW+dUOPWleAChsPhRD0moK7ud+Tn34Rdu56Q1ickyPNb4uM73rGg1RrYqAG/3wuvzwHZpaTr4LPbsffsc+Ctrw97u33jBpgnT5YEDZF07jlwFhbBfMKUTtuPrEceRu0bb6Lbv9WzkAg6MNM0azqbVnq9HM3YFJO7idbWVjaDLxLeIBEQbmp0RzkQbsUkxn744QdphI/D4YhKwCjFmy5o+OTOESPZ4NE27gy/292lPltcwHA4HIkWyxa43U1ISw11Zl21+jz4/a6QbqEE8yBpWa/rmLeJiFYby3xgfF4HugqOnTvR/MOPzCOD/D4iiRfCuWMH4kaPVq3Lfv75Tk/ZpF57LVKuvjpiPQk74HbCQfdIoaREPYmbDvJtCRjHDnm4Ydwxx3TKPmgUdS9i4ez+snWrbF8wYsQIrFy5Ena7HW63G4YoBUawR1CweBHnYMkb+Fk7eVeK7nEBw+FwpBDy6tXnsuXx4+bCbJbn33i9VGDrktx3Rfr2fRhGo5xL12r3Lf1D9yMBQxGYrkLxlVcx4RINNS+9DGdhoXQ9+/+ePmD1Joer7XtXETA5ykGMQd4vJddeKx3cc1+Xo2n7A30OqHiaohdtDeSMFoq2/Pjjj9J1k8nEnoO+vyRi2hYwighMglz0HZYwheLuysouJWD4N4HD4TBqa+dJy41NK1W3tbSoh9oRGRmno0f+zaqZRxrNvv2kiIW8XSUCY9+yNWrxItL8zbfCglaL5IsuOjA7xukQxcXFqutNEUzbSLzYVsifeRqmGU2HVbRQIbdB0fWzP1BBspKxY8ciLpCmohRZm/uhiAAp2+7D4bM7wgqYrgSPwHA4R4k4abFsRe9e90QUGZu33KGqd1HS2KT2iSCSk8eySzr76979BjYTKSlp1D6nkMRW6q5A6a37Ybp2BM8HOlygGpHS0lJUBg64AwcOxI4dO2CNIEpLbrpZNbm7pa6WtV+nHYgOsv1E2Q4+YsQIJCYmMgFD9T7tCZjkC86HY9s2xE+c2G40yOdwhHXn7UrwCAyHcxSwafPtKCp6UzWvSEl1zVzVdYdD+JH0+Tzwep2wWneE3Cc5aYy03L/fPzFyxAxWjLsviJ1HXSGFZN+4sc16l/ZIPOusTt0fTsf55ZdfmPcLpVXoAJ8d8L4Jd4Cn1mGleCEWZGdjxowZ6OpRpZNOOoldRhuBoQLc7CefYK7CkQqUDYEUW8bdd4fc5m0MH8E6VPAIDIdzhELOtuvWXYEWizxVt7llHbKzZZMqkS1b7g47pHHz5ttRV/972MfvqN9LVGZ2XSCFVHb3/jnGdvv34522L5yOQwfxDRvklGd6erpUuBvuAN+6Wt02vPqYsWhMTQXsdhbJoRqTrgIV6YpRpXvvvZeJM6WACe66aotItSzdnnoKpj69wxoe0mykrgSPwHA4RygNDUtU4oVwONQ57KrqOVj4e+jgRYrAuN2NEcULodcLP56dgTQP6RBHYGyrVrFOi0hkP/MM0m69FeaTTmJdGvkffRiyTUenTHM6lzlz5qiuk3hpK0IRbKPvVAiWqNxtDwIejwcLFizAd999x6JKRqMRSYEp5ERsoNOJCnyjhaaY9/rxB9WQSlqOHz9OEi+p16vHTngb1QZ3hxoegeFwjlCam0Nn8oipIZGtW+9VXc/JvgQVlV+zWpS6uj9D7m8yZcPprAwxoNtftF2kiLf66adV/h1J552Lxs+/YNdTr70GyRdecAj3jtMeFosF24OGD9LBvS0BQynDSAKGin579OiBQw21SbO5RwFcLpeqy02MElHEqCPE9O+PxGnTYFu2jF3P/+B91e2Z990L85Qp8FRXoeKhh+HpYhEYLmA4nCOU4E4iMTUkupGScZySxMQRGDjwWVYPQy3Nu3Y/qbqduo0MhhRJwHRmm7DYfu31HdqBjt5m2Y69x+efIWbgQGQ+/LDgfxGh/VZJxv33H+A95LTF3LnqWi5xZlBwioW+A7Wv/hetu3YyDx8lDlNMu11LBxsqSG4L0z4KGCLp/PPgs1oQO0YoyleiMRoRP2G8NAdJrIGhkRk1L74E06CBSD7vPBwquIDhcI5APB4rLJYtIetJmHg8LTAYklBXr46wUESFRInRkAo7286iun3Y0LewZ8/LB2R/xYnUPm/Hf4A7C3dNjZQ+Sr78MmbLT2iNRhjz8tq9f9pNNyL9lpsP+H5yQqGhhosWLYpYN0JutcpxAs6dO1H/7rtht3fGmDpmz38QCB4bMGHChE4TMOQrRAaJ0ZjeidYClvkL2JBHIunMM5nQORTwGhgO5wikuXltSIRFrFlxumrYNONNm25R3S467BqM4f0v9Iakfe4y6shE6kOFWAthGjwI2f/+d9QRpu7vTEfSeech/fbbD/AecsJBgiSceBE7j6jVWDzA07YkaOrDbL/4+OOw5NjJcCsOxlENSDzAkIhqDErdiN1HnSFgokEX8IwRBYx9s1xbZ1e4Ah9seASGwzkCaWxcKaV9xEiKwZDKoi+Vld+ipuaXkPuI4oG2C4fJmIV4c380t6zv9P3VdYEUUusqQcDEHzOuQ/ejGgH64xwagg/uxBVXXMFqV+i2rIB5m+hWSwf5wh9/hNLhpTkxEZVhUoTKmpm6ujrW9UMFtAeTYOM6Itht13SABYxoeuez2Vj6SNm55di0CXGj9s3/aX/hAobDOYLrX/r3+xdc7gYkJgzHnr2vwG4vQknJe2Hvk5F+CrukFJIIGdRlZZ7JUlImUwb69vkHfD4nsrtd2Kn7q+0CKaTWVavYZdz48YdsHzgdZ/lyYRK6kt69e0Ov16Obwv2WDvLUpeNobUVCibqm5K/jj5OWMzMzmejZvHmzVDNTWFiImTNnsmjO+eeH2hAcKEhABXdVhSNGkSI7ECjnJlGa1RGIuuTPnIm4cZ0zM2pf4AKGwznCoPSQxbKNLSclkc14jxBhImI0ZmDM6C/Q1LQaWVnnsHUGQ7J0Ow11VLrr0m1DBr/S6fusC6SQDlUbNdW/uGiWkUaDuLGyQR+na0PpldVBbdCUXiHxEowoYHb99htS3W7Vba2KidE33ECu0q1MwIgRGKqxITZu3IhzzjkHuoM0MHPPnj3SstlsRkJCAiZPnhyynelAR2CMRmaCR/OcqBsJXi8M3buzlutDCRcwHM4RxuYtd0uDF2NiZLMqgzFUwGR3Ox9xcb3YXzh/F52+nYFvnd5GfWBTSLWvv8Hs0MlsTjkUUUwfGXv3hi5gDsbp+lBkJJxnSjjEg3zJ3LkI/ib4tVr06tULxx57LItmiPVPVC9DLcv0J1JbW6uK7ByssQEjR47EySefHHY70wEWMGIaiYzspEjlIYy8iHABw+EcQVC9S23tr9J1rVb+ioeLwCgHMUrrDPIBXK87OALmYERgPLW1qHtbmKSddO65iBstRJa8Vhsq/v53tmzI6zqTdjntI7rSKunZs2ebB/nMaqHTbP3IkYhvtaEpOZnVlJx33nmSORzVuVCUhVqwyVdGaWhHdTUHQ8BQC/eKQPtySkoKprRRZ2UKvDaKMIk2CQcijaR04jX2CP8+H0y4gOFwjrDoSySoiygYry/0jE0VgTlIAkbuQjpwZ5CilwXRumaNJGAaP/lYWu+3tT1LhtN1KCkpYQZvxOjRo3H88cezQluKpISDRVZ8PmTU1rLrNVmZaEpJQb9+/fDgxRerinNJAND2VAND7rftFQ0fCL7//ntpedq0aSGFu0qCu6wORKFx8PBHmrB9qOEChsM5QqBp0A0Nf0nXR42UD8yRrP+VqaNgTxbhPm1PrO3sFBLNbwqmqPgd2FuLMGDA06qIUkexLZcFDJmX0Y+9z2JB7WuvS+tjR43c58fnHFx+/PFHaXnw4MFITk5mf20d5FMbGmDweOA0GpF/3HEgd59TTjkl7AFfFDDBHCxzu6KiImm5rddFKMUNpZEOhIChGhglurTw3YoHEy5gOJzDEJoQTXOOkpPGSuHiteuuUG2Tmqou9jPo5QhM374Pw+9zo1vW2SGPrdHIPws6XfxBTSEF+8C43S3Ys+dFtpyReRrS007Yp8cnsWJTdKu0zJ0Lr82KlIsvVm2Xfued+/T4nIOPUly0d4AXBUx2IOVUn5aGvv37Y/jw4W1uH2lcwYFG+RwZGRkshdQWWq2W7S+JF/qjYt/ORlkzRujT0nGo4QKGwzkMKdjzAsrKZqJ//yeQkDAYGzZcD69X/kGfMH5+m/UuaalTYDb3b1NMEFpt5LD1ASniDUohNTXJUZPmprX7LGDcxcXwBNVL2BYthjZGjjZ1e+IJaAPtqJyuX7xrt9ul9BFNnG6PuMZG9N0qdOdZE8xI9/vb3D5SysYaMHM70OkxgmptbrvttqjuY1IImANCkIDRJR76oaVcwHA4hyEkXohdu55AbGy+SrykpR6P+PjebdbA6NvoLkpOHofkpGMQb+6Hg4VoZBfsA9PQIAyZI2y23VE/Xuv69TDm50t5ejH6YurXF87dsjGY5bff2GX6XXch+eKL9vNVcA4W5MkictZZZ7W7feOsWcj672vSdV9MLPr3Dy/g2+tm2tcIjM/nY+KHzPDaggqHZ82axZY7UixsOsCdSMoIDDlPG/LzcajhowQ4nMMMu104OxPQwumUOyS0WiOGD38n7P102tioinMp6jJmzJcYOECezHyoingbGpdKy3ZHWVSPRWKl+PIrUHbHnSH1LwlnnBHuyZF6zdXQHCRvD87+sXbt2pD0SVu4y8tR9a/HoVO46k697lo2pbotqKMnHOHqYqLhzz//xH/+8x/s3Lmzze3WrVvXodTYQWulVnw/cp5/7oB0OnUULmA4nMMMZVQC8MHnkz0qRBETDqNRDrPrdLJxV1dAnkYtHzQaV/+G1ta90nW7vZTVsrRH4xdfCttv3MgM6qyLF0sRGPOkSSHbxwwezL1fDhB0MCUTuM7q3KGoiNKZdty49o3UlLVPRHlODpLCCdk2UkV5eXmsFoWgLh/66yiLFy9ml+0564rpIyKcId8hi8Doup5c6Hp7xOFwwuJwVLIJ0hWVQng5HMFiRglNoB496jOMHTNrv7p5DqSAESMwjm3bUPjK39hyfFxfaZK2s7EcJbfcguY5P7F1zT//jFbFGSvhUUzuLb3xJpTecivrNiIjrpihQ0Oe25jf/QC+sqObX3/9lQ1a/OSTTzrl8RYsWKC6foZCiFDEhMRBcXGxtI4Eb+OXX6nus23I4HajBw0NDSohQHU2ysJY5YykaKDHay81RZBhHjkAiwwbNizq5zAEanb2RVxFhabryYWu9SvG4XAisnHjjbDa2g4/t0dKygR0RZQChh10/piDxluEH/o4dIdTX81M+qpm/Af2xX/BtvgvmPr3R8UDggHdwM2bWJtnw+efs8iLiHO3XDdDLruaMGe0Wh59OWBs2rRJOoBTbcf+WvCLxm6ieFEKkd9//52ll+jviSeekLrNHFu2qB7DEUWh9t69cuSPoLbkeIUPSkeiHL/88ovkV8Oe3+FgIiNckfDChQulZSreFY31osEYaJ1WugZ3JrEjR8K2VE7pdgW6nqTicDgh1DcsCREvBkOokdTgQULLcWfha22Fp64OBxpdoAsJ8LMxCDUt8pm2v7FVSn81/fWztL7w3HOlZXvgrLX6qch1O/pAK2qwYNElRV9nwIkeilKQaBHpaBqJojdk5kbFr+HuH5w+Uo4VEOtUal56OeRxT7rggg7NIBLFAc0iaq8+JlzBr1K8tOUlQ+uU27bXOn2wIzBpt9yMjHv+hl7fq439DiVcwHA4hwEbNlwbsk45ZHHK8Rtw/HFrkZ3duVOiS++8EwUnnwJXqXp6b2ejrNvxWBphNchpANdPa6BtFSInvoTwNTCOLVvhrqho8zn8gQNhzy+/QLLC/0UbE97vg7N/fPjhh6rrHREwFLGhaMuGDRtQVlamiopQXcjdd9+tir5QRKS+vl41r8jv9cIXpuV5zMSJIeso6kfPQ+kdEkzBM5aCIzDRCpjp06dHfH0iJDhIvMyePTsqH5pDFYHRmkxIv/12xAwciK4CTyFxOF0cl0v+sRPp1u18VSs0Gc5pOjlH3bp2LVoD3TuNX36JrAcfxIFCo5EFjGXdcjgHCGfuxp0axP+pRWOvAmA0CZjw93eVlcK6ZIl0PfHss9ESVCzpswt1C6bevdHtqSfRFGhV9bsj1yRw9g0qRCUR0VEBQ94uH3/8sWrG0datW1FRUYG//hJcpsePH4+0IBt7cq0VIzWiQMiyWCQBQ6KVIon6CH4x1PlD9TM06XnQoEFMoFBEQ4xmkDhQdi1FM3OIokCROpaUrdg0qmDbNsGfRuSmm25CRzEc6BqYLggXMBxOF6ehQT4wiyQnjYFN0aHT2eKFKL7yKmnZXRpdC/O+QgcCqoOhGpj6Pb/C3xvQ2DVIe0MPjU8DrZUOFH54I0Rg3CWl8FQJxbvpd9+F+PHjQwSMqU9f1fOJ+I+iH/yDlTb64IMPQm6LRsDMmzcvZEDj6tWrVeIkNTXUwr6goCDkuep/FP7/4ydPZvUbbSF2Bi1duhTNzc1sOTMzU5oGTQKGRguIbNy4kY0yIKERyatFWUwsQp1MJOxI2NAldWgFixeKvOTmdnyoqDEQgTmaBAxPIXE4XRxxvlGP/FukdaaYbFVbdGfjUrRysutlBzaFpPSCqav9nV2aW3KYeGG3BZo+NBlm5pgrEn/cccL+FRfLrdLHHQed4gw97dZbkXzJJci49x7V85lPEFx9ky8S0m52ezkW/3UMdhc8dyBf5hELiYz3338fr7zyimo9RTWicbClNMr69evDPq6S4MJWioTsDhRr5wfM1ZwbN0omhcYePdp83uCUy5ZA0a9SKAULGKqRoXQTFQ6HgwTK119/HeJTI7ZiUzTpo48+ChEvxO23375PHiuGQATmQKWQuiI8AsPhdGHox7k+IGBSU49DSsokWCyb2SgAcsul6ExGximd/rzKdAzhLi5pN2TeWZ1I9vHCASvRPBx+CF0Z2taAkOmeBn2mcBAgTP36wfbXX3AFahZ0SUmIGTKEFR+LxI8fh/gw/i95b73J2qt1AbOwjZtuhNvdgJKSGejT+4GIfjqc8FDkRFmHQowdO5ZFMqIxgIu21TonJ0d1ndJFJH5IKAwbOhQ5X36FHgoB7verBVBbQxOVKIUHiQOlgBFpaWkJe9/t27dLy5SSou0o7dS9e3cmWkj8hGunJgHWEfM6JTyFxOFwuhTNzWvhclEtgRZJSWOg05mQlnacNCl69KjO8dcIpnWF0A2RfscdqPvf/+Cz2eBtbIQ+TPi+swWMSGL+MWgOCBhNQI/4E/WqOgZTXzktRMRPnsQcdcnzRXpcxbIS2k4UL42NK1WjCiyWraoiaU77BKdxiGnTpknFt21FYKqqqkLETziOPfZYxMXFhX3eHj16ILm6Guag6GHwwM5o9ps45phjmCgjIUPiJZyAoVRVOGGvLAIm0UJ1O7SdUtiEY9Soff/MGQ9wEW9XhAsYDqeL4vd7sXbdpYFrPiZeDgatq1fDMm8eW44dNRK6lBR4Gxrgqa09oAIGrW5VUjuh9zgI1QiA1i4cIHxGrzTfiDD2yCclR+5g7Hr8sYK4owMKFeq6S0sR04YZGB1UNm66GfX1f6h3pbWQC5gOEiwETj75ZPb/ILYfRxIw9H8QqVsnmHD2/+Lz9u3dG56b5TQr0e2JfzOn5WgiMCSMRIO6U045hbnv3nrrrew10F84AUPdT3QfZYcS1QCJ+0RGdNQOLW4TLL6ieX3RYuARGA6H01VoaRFMwA42xVdfIy1T/QBFPAQBUwcMGNDpz+f3eJjhnLesGgjMh6P0TXx8H2kbsQbGq3dCp4jAUBSFBI3ovhs7Yrh0W8oll0RVXxQsXohWe2gBJicydXV1KA1qtR8cEA7iwZ0O4lTPEjy7iIp0o4WiLEroYC0KkJ4eD4ITOjFDQp2XxftRvQ5FfkT69evHinOVaSql8V6ktmZKYYmvkR6XIk4kbEisDBgwAF988QWbln3XXXepXHaDIV+b9gZMtoXxKIzA8CJeDqeLUln1vbRMNRkHA69VXadgyMmRUjalN90Ed3VNpz9n7ZtvovD8CwDFieP4cb8yEdPzqy9hPvkkaOyB/dM4mB9F3NixMOTlwTRoEHSKqFBHZxpt2Hi96rrZLBx07VzAdIg333wzZJ0YeVFGLqgOhEQCiQ4SD9SJM3fu3HYf/5xzzsF1113HoiLB7dokGsjm37ApVBzoM8IXuovPr0TZ+RMuEhI8l0g0mlO2RH/55Zf46ithdEHv3r3xzTffSAKvpqZGNahRyTXXXIMzzzyz3cGU4aisrGQdTzwCw+FwugQW6w6Ul3/KltPTT0Z+/s0H5XlbV8iD77IeeZhZ7ysPAiXXXYc+v7R/wOlQkfJ0YXq2RvG7qw2ky2JHjEDmPfeg6QbBmdcLIRST//FMitWz8QHK8QAdGQuwa1eoa29q6mRYrdvgdMrzlDhtE1zISnUvdCAWIwJ04Bc9VWgi86pVqzr8HBS56dmzZ8h6MfrSp08f2D4Rvi+13bohIyBOlOlGJWLXkpJExWenvVQPkZWVxWpgxNQYtV8rHXzJ00bJ22+/HfGxevXqhWi/LyT6KKKj1WpZtOWdd4Tvz5VXXnnUCRgegeFwuljaaPWaC7Bq1TRpXXLyMdBqQ+emHAisi4SJuSlXX43UawX3X12aLGDEbp/OgAY2KufUaGTXeegUBb3UEi0W8Xr9dvh8Hmi0WiZe2P0UYX6KzkSD1+tAadlHIesTEoawS6ez8yNNBwM6wDld0Y9+oANwpCLWaFmumPZMxapU/DpmzBjVNmIUJhrxct5554WsCxYDRHV1tWRulx0TA8fWrWx56yknoyw3F4Zzz5U+I5HarkXOOuss1WyiaGpRxOGOooDZtWtXm+MI2oJceNsa8ihCERwSQuLrLlR8H8nsj+ApJA6Hc9Chds/Va85HS4s8jJBISxUKUw8GYvu0+fjjpXW6FHVbp68TfiBb169H4QUXoujiS9rtSKIi4uQTZUHn9cohe2GDjg8IbGyShwIqSTAPYpeuDoiArkR5xRdYsmQ8KiqF1EU0dv+ffvpphw62Sig1IgqYvn374vTTTw+7XbgCWCK1vh6xQZOdRypM58RalHAChozkRJIDB3KaNq5NT8fS446F78YbQu5DaRyaaB1sqkfPSVENkXCDFiOlyMQUUrCA6QhUGxM8abstwz0ywAt+TtH5WByHcDTAU0gcThehrOzjkHVpaVNgNnd+4ayIbeUqVD35JMXooU1KhCfggkrdRyJiq7EIdfaY+sgFth3F73Kh+PIroh4tQB0geS+9goJF8+D1tsLtboHBIA+6o2hMR6mrkwt3jxn7HSorZ8NkyoLJJLiqer1W9lw6XeRUgtPugTFGd0C9cTrKzp3/Ypfbtz+E1JTJcDqrInZTUfGpmP6hqdGUhukoygMoHTQjvRfhIhokXk6ZvwAtCQn4ZdqZUlqGOPvss1mNChXHUmQhePYQPZfSsdewZStoPrR5yhRJLIWbV/Tuu++GjXRQmosM8q6//vqIYisYMc1EERiKegRPsBahwtxoxA0Z6AULQHrcHTt2sNEJwftls9lUkSTlgEhKI3V0ltLhCBcwHM4hxuWqx/oN18JqDfWIGDL4Px3q5lHWg0QDFeaGs9LXKbxTyBxOtb/FxfslYOree6/dbbTa0Neh1ycyUeHxtOxXBIZSCHV1gr/MiOEzkJg4nP2Jt2m1sfD57CwKExsbaIsKYu+GWvwyfTMmX9QXI08Ov83BJrhuZ936K2C3l2D0qM+RkjI+ZPudO+Xp5tF4sIRDeWCeMmVKxO3CiYKegfqVRIsF5hYLrIkJuOiii9g6MQUlTmcOjsCQqBGjDGcMHAjnl0+y5dhRoxBTXhZWwFDURSleqOuHuoxE0RSuy6ktxCgNPQ+lcpSTt0XosamVWnyfKNJDkSryg6EZT0rCtZn/8ssvYd2JiZdeeink9XWmgCGBS3U90dbnHAp4ConDOcSUlX0aVrzExfWCwRCdK2fL3LnYMXQYu+xIJCSaOUAhEZigWTUdwdPQgLo3QjtWev8yF6Z2WrRJwLDHCBIw7fl8BGO17YTTSQZlMUhJUU8mpgiCwSAINrdbPqMlSrc14JsX1uD7V9cx8UIs/Wb/6kc6k/p6oX5JhMSLmFZqT3xU11VjWcUyttzqbkWVTd2hEw4SFdQFRNx2221tHvzDCZhMRUdben0dbr75ZslqPzhyEyxGxH2nVu3kl16W1pt69ZTuEyx6glM0VLR72mmnqVJWHUHsSqLniRRhocJaMdVEkJgZOnQoLrzwwrAzlJQCi8R0JPGiJDs7W4rIiPu0v3Uw9NwzZszAzJkzQ9rjuxJcwHA4BxGPx4rGptXsB0KkqXlN2G0jnf0H421uRvn9Qpu1eBkNpbffEXZ9zivyASFca7KnRj1lOFroNRcGzrCDMfXqBUNW+KF4wQLGHSRgMu68A6nXXsMmDkdDfZ0wvyY1ZRJ0utADq0GfFPZ5fnx9A6oLW1C+Uy1sWlsOfdGk12vH9h0Ph70tXEcVCQLlsEG3w427f70bFdYK3P/n/Thz9pnY09R2XQzVzVAUhGpHIg00jCRg6JCbpOheMlusYS30xfsFixExejQgL4+5RIvos7NDUkgUGaHXGhzxUAqLaFGmeESPGHqeSAKGRJJY7KtMO1EH0S233MKchSNFUaKtS8rKypKEi3i5P51Ia9aswZNPPimZ+omzoboiXMBwOAeR3QXPYt26y6R6F4/HgqYmdWfG6FGfIS1tKgb0l4cWinh9fny/vhz1Vsr4C1Q9/X8hkZX2IFdd29KlYW9LmiYXzBJac0LIffcF544d8FTI0ZuEU4QZTgmnnBzV/Q0RIjDa+HhkPfJIuxOHCa/XiT17X5FapsOhD0S9PG7RBxiwNcvvdzBN1eoi1EP1uYqEvVUhVNxuVnRLQwhJfFDdh0svfF7iPHF4fOnjWFqxFG6fGx9tDe3SEqH7UnpD9Dtpj+AamCFBgiTBYglbJxMuAkMHeepAomhZTsDAkMi47z5WDxUsYGhoIhUrdwYTJkyQTOtEzxZK/Si9YIJRChhlcTDdP9hbhup+xIneVFwdjokT1VHD+Ph46TlEUbUvAoYKicmT56effgopfO6q8BoYDucg0dC4HBUVgsnVrt1PsQJLW+se+P3qosKUlAnsLxifz493Fu/Bi7/uxMTeafjiFmGblqAfHFdpKatbqXv7f8zDheoC4ifIj+f3emH5PdR9NhLGvFyk3XILGy/gKiqCZx9/0Czz5RA+DVzMfe2/sK9fj5hBQucP0HYxrE4vHDi8nraHArZFwZ4XpOX4+H5tCiW3RxYwxVvq2xQwOf32bQBfZ2Cz7UV5+efSdbN5IKzWHdJ1p6uaRf70ejNrv128WE41xZhjYLPbYIQRJ1WchJLmEkCYvRgxjUQHV2qHFoczBqd9whFcj5EYiKBUZ2Yiq6YGZqs1rImbKEY8zc2o/PcT0MbGosJhR6+9e+GbMgWuv4SuubSbb0b6rcIYAWUKiVIwwSkQMqCj2/bV9Zb2iV57tMXb9NppoCM9p3LCNTFw4EDmjSPy7bffMlFJRcyRUHZLif8fJGBI2IkCpq0UEhX+Uus8jXoQBRU5B9NzR+o066pwAcPhHGB8PjfKyj/F7t3qSElxybtRP0ZVswNnvv4XGmzCD9PyvfUofOhRYLdciKn0ammcNQu2gKcLMWDdWmjj4uBpbEThuefJIkSjQe5/XoFl/ny4yyuY/0s4Mu+/D3HHjEXpzbfAs48/aJaFgcnS8fHI+9/b7Gw5LsgvpC10uoCA8QoHToejEpVVs9E97zrWLdTSsgEJCYNDhkISVtturFlzEesuEomLCx850AdqYMQIjM/rw19fRu4iaa4NbfE9mJ+tFSvV08gzMk5XCBg6yPrhcJTDbk9ViReiyd4Eu96OFJfQ1ZVvy8d213ZYjVaUtKiHIorRhv/973+qydKiI21bqCY7u1wwBLpn9vTtwwRMTJiOIeqQQ4vwfzBw5So0Bbp8SNKMo///xERYA0NHzSdODRE91GH1ww8/qB6TioSHDBnCak2iaZUOh2jQF2ksAD0HiQFyDxa59FJxppkaSr3dfvvtWLhwoZSGosLZX3/9VdqGxIkY4aFoV3A6Li0tLcRMkNJPdJ8RI0aw69SxRf93FPH57LPPpPTW5MlCFDJSBxVBj0MCh+5PkS8SY12l844LGA7nAENCZe/etruJzPEDkJ5+EjIy1AcjkS9WlUjiRWTzn6vQr7lcup545pmsiNdVUqoSL4Rt+XIknHQSWn76WRVB6fHpJ0xEJJ5xRtTFvFRz01EoKuSks26dDn0WzIc+ioNeMPqAgPEEBMymzbfBYtkCu72UtQrv2PEoEzP9+wutxEro/VeKl5iYPKllOnINjPA61/5aDI87sq9GW+mlA01t3XzV9fHj5qK+QTA5I+Lj+7Ip23Z7Jd56K7RGqKxbGRylavGQ5chiAqbSVgmHx4EYvXzApHZrpXgRpy23h/I+l/btC7fXh6akJNQGojdxTieLDIqmhN6mJpQEjBTjzj4L3YJs/4mYBQtB/ys0G4scm6X1gQO8aOymhA7aQqH2vhtDtiVg6DYq0qXojrhdNDUsmZmZqjoaMepBwoeiNBS9odQSRWeUtUvHH388Ro8eLaV5RGGxNJAeptEL9JpFt95gF2MSMJRuEscfRIJE1SeffMLEzPnnny8Jo0MNr4HhcA4wlVGYig0c+H/o0+cBqZ03uO5l7ubQzp+yhECsP4A+UEhZ8+KLIds6tgldTta/1MLG0E7xpRKxnXpfBIxlgRB9oRlG+yJe2PMHPFmoldrnczLxQlRWzmLihSB33aKi6SqfF4pSNDWpBwZOmvhnxLPI4AjMmp+Fdl+C2qZ7Dk9Hdt8k9B0jvP+2pkMnYOoVrzMj4zTmGaTXyzUXokgrKFgb9v6L7Yvh0KkFzMj6kehn7wc//KyoV0mwg+39998fVbuudID1+eB+RRDz5kkTYcrMpPAM8yHyKFq5rQGnWWLS8uWIDzK7U5Iw9QSVF1BbLrrKepR9pS1hctNNN7W7TTjCFRRTtIS8eehzSsW/lDoi4UVtzdTxNXbsWJx44oksbSS+ZmVzAEGiSOnWq0QUSdHMoqJ6JzEKtHZt+M/SoYALGA7nANHcvA7r1l0ptbOKpCQL9ShWdxx+KDgDTc5EJCWNjvg4Hy0rwu6aUI+IUnOmqnPIkKUWNEpchXvhtVrRulztQKuPon4hWMD4aapwB9s0LQuF+peEkyMX7IqOw9Te3GYNjNeGXbufifg4e/a+hI2bbmIiRyxwdbvVzqtthcCVERhro5PVHhExZgOGTcnDtDuG44K/j8GQ4wSXWFvzoelCImFWG/CziY3ticGDBOHaLetsNhIhP/8mZs5H1NeHdrR4A7MbnLpQATa8ajhlnlBjl6N1FAEQZw+JiAWtkaBUDXW1lJcLkcKBFGUI+KXkTZqE+x54QJpXJBaH++x2VDz4D+kx0ura9qgxT5XTR0RwioUiGAdLwATXuERLuPeR0kvhnosECxnunXXWWdI6UcAEe9FQUTB5zoSDjO8oShWuVfvaa69ldTiiB4xSBIVzRT4sBMxzzz3H5lzQh4BCXjSzQmmGJFZ+33nnnSwvR6qS+t0pb6aEvANo4BepSnqcBx98MMQdkQqbKDRG6p6Mf6iSnMPpDKoL92Dj/LkhZyudzdp1l4e1rNcGWndnbr0MP+49A+9sEs7awlFQY8HTP20Le1tNXIqqc0hPZ7MRcBYWwfbXXyG+L5oOnClq6cc/cOD3dSAKQ2fW9rXCFN6Ek06MuF1u7pXMuG/iBHVaJLgGhrpqysuFPH5bULu6z+cK63Acld+MuxmFG4WDanKOFafcU4Bmi/z/GZ9sOqQRGOpe83iaYTCkYuKEeaxIV4xUjTvmR/Tr+whMRuEz0dgkHIB88GFZ1jJYDBZ2GUnAEFQXU9NaozqbD/7OiEWjkSDLe+pqofqJeIsVwzfIYzKM+YJvjDhNnNJGzt27Ufnvf3fofTD17RtRwNDx44ILLmDHJPoL7vrpTAFD9Sn7+vjhhkdGM1Ay+DUHp/coyhLcPi5C/5fKAmKxy4oM/ki4kJkgpazCGdx1lVEFHXq3Fy1axD4EJGJIcDz66KM49dRTsW3bNklB3nffffj5558xa9Ys9uLvuusu9gESc3KkEEm8kLpctmwZKy6iUeIUGnv22WcltUfbkDkSFRxRgROF5siwh4yHOJx9xUftiQ/fI10fcYpgYd7ZOJ21cHmBkpae6J1UJB73GVqtET6/ButqhLbfXY09WZpIpxU2KqyzYdaaUmQkmPD8L3I3STAtfQYBgi5gBAuYrEcfQcPMj+EuL4e7ogLVAedO6gCiwXeGKGoXlFCYnqY9k3jxtrREHb2x0twWv589ryEw2yaS+263bue2m0Jqblkf3fOSOaA/1B01PS2yiCJE80CHowJ7VwuRC0P6L9i9ex5bPv64NWyUQaxZOJC57B7s3PkCmluWY9TIj9j9STw1Nq5Azx63h3UV7gg0vJLSkMKogyxWqEzU1P7GLjPST4ZGE15IaHXCAcigF0TKvLx5sBlsqIyTU5JnDTgLdTWhhdmJrkSVgCFLeyI/P5+dhEbTfST+7lPq6Kyff1bdFjtyhCqy59y5C6U3Rhbzq48Zi26VVUhpbIRZcaCmWVmRBAYdg+h6NPu6vwLm6ggF8NEQTqx0RAzFRkib0fG1LbGhrLuh422wn0+41BYdwyl6s6/Rps6kQ98sZWU0QVERiqBQToyKiajQ5/3338fnn3/OcnME9d9T1fKKFSuYups3bx4TPOSKSMVL5IL49NNP46GHHsITTzzBPhzTp09nCvCVVwS/Brr/kiVL8Oqrr3IBw2kTOqso3rQe3fr0R0yYL9/vH8rFbNuX/HnABAwVV87adS4WlkzBtYO/wJkDm6HV6NG7932oqJyFwma1a2lpQyt6pgsnAdd8sBKlDaFh2vn3HY/SeX+g4MPP8Oy4a9CYnMm8L+LGCOknMRRPJJx6KlKvuQZJ556LXeMnMNEhRk1SrroKxp49YMzvuAU+HWyYgOlABEZsn044+STsD2IRb3DxMznrhqPVtpf9ESkpkzB0yH9hsWyNOBsouAbG2lKH6r2UHtIhIVcWTXV1fyI7+3wY4/Rikw+K9nwBfYyF/d/md7+Jef0Q5OrbPe+a/XrdpaXvo2CPXNd03LErWdSltlaIVGVkRv5N3FNQCY2WXpOQ5rLpQ1vQzxt0Hmb8NSNkfYI7gQkYOgDSn2isRmZudBCjKHtbKMcTdC9RtzLX/NON/nqvSsAE125RTZcnULxbn5qKvX36sD/iusJC2KlLifkUqb/n+1Oguz8CZn86c8IJmHCjCToqYHwK8UL1NPR/SMKIIlNitIb2m2qZwqXXlKktCiBQezb9v9KxvisImP2qgaEXQYgvhIQMVTRTf7ky/0iKXZxYSpdkp6ycP0GihNrAxFAXbaN8DHEb5dj2YKjNix5D+cc5+ti2+Hd8++zj+PV//w25zeNysdSRiP0AfkYqq+cz8UJ8vO1SxMZ2xzHHfIe0tOORlno8vitQm8UVBGpcrE5PWPHyzzMHoV9WAvqvmo+eLcLZc3WLk3lfUGFs8JmoNlYIKVPERBNUE0B263GjRqkET4cLeZuiEzDkkkodUIT5pP0TMMGDFQcMeBqJCjHSr69QyKtsna6tE8RTzx63wWhMY++/ssg1HBqfGY17jkfd1rMAvw7GhEoYE2TzPqqpsdn2QKvVwBQrnAN6XcIPfXPTWrRYNknb7tr1JBYtHoO6gPtvR7Fad6nEiyigqGXc5aqBTmdGatA4BJGta/dg62ahCFevd2Jj6kYmuLLjBet5kaSE0DQBYXab0dzSjOdfeB7/93//J5mj0Vk6dR61l+KgE1WRnEq5GNg+wgdPrh+WwPiM4FEVIr1mfS0taxUH4lNOOQVaoymicFBePxBpYqWA6SyxFE6A7I+AGTVqlCq9RyMXKEJEQYJHHnlE5YFDqa9ItUHK/2M6JovbdZXj6z4LGFJ29957L2vDorYxsWCI/nODLaFJrNBt4jZK8SLeLt7W1jb0pkUqIKL6HAoXin/RtPZxjjyWfPUJu9yzZgWcQZ0LmxYKIXeRpupKeMNMpt1faFry8j1y3ZcfWtS5x6KssRUerw/r6yZhe4N67s+eWkHAXDlD8LUI5qbjesHX2grrX0uQ6hB+PCxOD+yUpwpAYkV6Tq9P+jHXBxX3miTjuI7T0U6k+g8/Ys7AZPFu6hfeOC7q5w6KwJjj+0OrlQ8gsXE9Vbe3tKyH293A0j3JyaHDDCOx5icrqtdejcbdQku7MVHdiUOPuWLlqezgaIo3qAQMRd7WrLlAtb3H04SNm27GvlBcPD1kXUnpDJSUCs6y6elTw/relO9uwJ/vFUNbJIhGg8GJgsQCPHTMQ5h9zmw8Pflp3DfmPrx/6vsRz95jPbGIWR4Dl1NdpBzOcC4cVDyaUV2Di7/6Gj2KhUJ2d7YPTdcJ37lWmxDR0SWHF1A6hcBWChiKBGiiFA6RBExLnR0LPtqGxV/tatOksD0Bc+6557JoBrUWd3ZUpyODJWOD/g8puCAKIIqiKD1pSNhQa7VIbm5uxMdVChiqsxHv15bz8MFkn5OzVAtDMxIotdMVIFVJYTAREjtcxBxd2C0tsDU2SNdrSwqRN3AIW3ZYrfjjIyF9ZIyNhctuZ/UwzTVVSM3JC/t4e/a8jOaWDRg+bLpUIBkNy5afgLXV6rD+DV+TIA91v81KNLFISmWzgxXsbixVz9kRISFiXbkSfocDSXl50Gs18Pj8aLK7EGuMDT3z9MrCjGpV3IEDSN8//4B2P6bUygIm/H4qcVdXo+5NYXAj1b7sr/mV2IUkkpw8VuWDInYPBZOefnLUdSh0wNu+RH1A02jDnwnTkEQPq7HJhdfZ/ufD63WEnb3U1r6Em5NFvi70R2RknKq6jU7wNq7bgrWfCAcYrTMVbnsSYGoBNLE4v9/5iDfE47y+56nud9VVV7EDHv399ttvQorAFZoiiNa9VuxwOWvlSmgDIsJn8qP2nx5odHoanc4iMDt2PAaTJrTDjlC2RosChiIA5G3ivu5aWH//PaQDKRr8Pj8+eUyO5m/+owy3vD4FBmN0U82VkQ1Kyzz88MOdYuwmNrNQpIva1anWdF8FzF6FMR3VsQR3ZilrW9pqO1emkAQBY8bwEb/C7lgAr3dBhz7PXSYCQ4W5VFlOFeb0YRKh0CLlyOjDq4S6kMTiILoM7koSr7e3Dam/SG82qWC6XfnHObrYs2Yl/IoztYayUulA8NaNQk0Ckda9B9LyhPoPSwRXWZerAUXF/0Nj43JUVn3XoZC/292M9TWhfi7huGKccJa1qawJ36yVTemCoRbTssDwxbjRo5AcJ5yxNdoizDwJRGAIrSkmRIDsK+L9fe2EkMmUrGDKCdL1VqMeHz94Fzb/LhTC7m8NTHb2xeyye961LDKT3e1CNr1bRj6gZGZEVze3c0UlPvh76AlZ2qBf0K3beUwIqbbf+S9o9IJg1vrDi2Alra3h/TiUVNuqcf1P5+HbnV+iuXktc9Bti8SEYarrP/74IxZ9v0G1ztHQCzFaP8Z1G8PESzio03PAgAEs1SB6mYSDOk/bgkZUNH3zDUsfmRwOtX+LH4hP6I/4jMfg8elYdxiJwCqbXNxLIyuMvXsj/Q7hs552663scv1oIVVIUX+KVsSPG8cMEfNef63DEZjNi0Lf07Id6jb7aKF96SxXWhILlD0gvxead9SRIl59G9uGi+QoIyttCRilxw9tFxtbiaSkWmi1lWhoUHtKdXkBQx8GEi/fffcdGwYm9oiLUNsV5QSpa0iE2qypYl0cQEWX5GCoHBA1f/58JjjoyyNuo3wMcZvgIVacoxtrYwPcTtmEq2CNOv1SXyZEHaoK1DbwJ1x9IxLShHkiJVs2wO1ywu1yoLLyOzidwueyqup7afvgYYsh+2G1SlNka2rm4oudF6LFJQjokwZGbm1ecP8UDMoWcsrrSpowfZEQUu+RFod3rx6DC0blsvt/dtN4NH4l1wPokpKREieE0Jtaw3uQiHUxDL18xhhcD9NRxHB/ezUwravVxnHbcjNQW1KEee+8rhKZ+1oDI6aOYmJycNyxqzFo0AusxmXcuJ8xccLvMBrleTHkiRIO6h5aOHMbync2Mq+XBR9thyNIEGqNNmTkJbH6muHD3g7dJ6NQCKn1tW8IKEZNIuHz+3DbnKm4InYzksv/ibXrBPv5zMxpmDhhgZQG8zrjUL7sNrSUjmFdSc21rdiyuBw7d+zE9m3bEWtTpwSczULn1/+mqqeMR6ItbxeDKXzqhkZUWJcsRdkdd6DysX+hZOE8nDxPnn1FaF0abKwZgEs/TcXnOy6UX3e8LDIM3fPQZ+7PyPjb3ex6xr33oODxf6Ey0L2mjH4Y8/KiTiUpWfJ16FiI+rLoUyJKwdJeG3lXwBDmPQqOrERCGQig7TQa2cRu3fpPsXp1qE1El00hUdqIOoxovgSF8sSaFVKNpM7o8sYbb2SpHCrspRd/9913M+FBHUgEtV2LBUUvvvgie4zHHnuMPbao9qid680338Q//vEP3HDDDUwsff3116w9m8Mh6kqK8Omj96H7kOG48JEnsWvFElb3QgyYdDx2LluMlroa7F65DJsWyt1zky+9Gjn9B8GcKhzgVv3wDfvL6p+J7KmLkJg4knWr7C54RhVViURrawnef/8rNDbacM8996Cg7A8sLBGGyhFJcQbkapvQTWvBek8ufIpzhuykGLS6QmtwPr1xPLqnxuHUIfJBsXDRImk54cSpSAnYaTS2qg+4vX+Zi9aVK5F80UXSOhayF5f3N40TZQ1My1xhUjGR8fBDqF4s/x/UlZUgI7/n/hXxKs6sdTr5LDHBLJiW6bTyWSV1AoXjh9c2oKaoBTuWV+Hce8NPso5NKcW4cT9G3qeAgHE7jAg+j9Vo9KpBnXa7bAEfjh/3/IizktwIdNPD6zahfOkd8PbtgWFDe7Ep5b//0Rd1286GpWwM+/NfpcfXzyyHy+GFLb4YcZp86HzqA1Jri1C0S5FBpbCLRHCNy/q09RhRPwJ7EvegxFKCPslCJ5CSyn8+xlI6IpmrFsLcGtrxNHOjIKwXlR2LywZ8B6PODZ/iv1UX1FFEn1d/mG7CYFburUd6ggl9MtTbBrcFk69PuLKYhsroJ4pH+x3y+70oLHwDScljkZZ6LPaFPz/bgcJNdcjonoApVwxAQmrHT0Baw7gYRxuBIfFDqS16zfSyXS459abXL0VRcSGGDZvfpgjqMhEYGuJFudETTjiBFVKJf8o5CtTqTA6BZGBHrdX0AZo9e7ZKsVL6iS5J2FDulXxgnnrqKWkbiuyQWKGoC81coHbqGTNm8BZqjsS6X36E1+1G0Ya1qNi1HXNefV66rddIYUBgweoV+PE/z6Joo2CWMmbauRg97Ry4XHUwB7UAVu+qgaPJyLo7qIZFid1exAzR7PZyNDQslYrYXnrpJbz44gdMvLB9WrcIS4vkav4R3ZNh9LtxinE3humrMFinTovGm/TITAj94ndLioHP4WCTnwlXWRkcgbkrOS+/jPiJE5EciMA0BkVgTL16IeWyy6BRhJQ1us4z3NYmti9gWqoq0ThfSBVl3H8/WseMhMMm1znUlxbv23Nr5UJHsrlvE+odlu4Xpsh1VyMTLyLr5qndkhN7LkNij+XIPuaLtvdJEjDqM3GatRTcNeVwhp/uLLK8+Dv0NMnRqZaiiWitGYzdy+LR2uKSDpy2KjmiNH/GViZeiLjWPMRbZWFYkyJ8Zlw2oRjW7Wm/bikcexP3Ys2QNdiUuilktADR8PHHKvFCZO+WU7MNAQHyy6kjUGGVO+VKLEKkyKcI+GjNwvdnx/JKLP22gA3SbE8wbClvxqXvrsB5by1lRfLELbfcwqz2zzxTtkmgKNvc/8nzizLy5e9qY1X0E86DG0zC1TpVVf2AgoIXUFj0BjZsuJZ5+XSUXauqsPWvCrQ2u1ih8c9vySaAHcFS48bOlVWqdJoyAtPe2APalgRPU/NaeH1yjSGRmlqBrdv2rcPuoEdgomlJIyX21ltvsb+2cnLtzV8gkRTO4pjDoRRE0Ub5s/HFvx5U3Z7ePXz1/ugzz0VRyX9QWvoB6mqoU07dTmqtiENMcmhKhs6iqRZhw8Yb2Vk0FfVu3WoIcb1cuXIZdmqHIlVjg9uYhDcuG4kPPhS6RYg8XTP2aPNgd3tx4WihZiIl0MWixKDTovwfj6Hl55+R/8H7cASswOMmTEDSWUL7dXI7KSQlxt50xqwO5+8rWnO81B7NLp1OeBsbpZlKjZXl+Oj+O5CSEotJGi3SbrgeG2a+p3qM+nK1J8g+4feF/X167pcdSIo1YHSgvTkclCb6/j/q35bSbeof5pikUqQOWBAifgYNfB47dj4mRVZ0JuF9MOqGIDv7ImY4ZzYPZtGSzVvuRGOj4HZLVFR8iaTEkcjJEep3lFhdzThVo66/sVTIUaHS7Q0YML4bXJZMuCzy53bPerm9W+OXRZRHb0NdXCkyG4fB2yqIBrd73wRMemw6eqX2QmlrKapbq1m6qOTGG5F46mlIu/kmVD/7XMT7LsodgeePuRpxbjtaDeoz/QprNvomF6lSSDSpnFJiC2cKn/n03HjmDEsWHcqRAEq+Wy/UtFgcHqwsbMDkvunIyclhf0qqC9V1W2fdNQLr5hVj44JSWBuid1Omrp3LLrss4hTugoLnUVYudEOKkPliSnL0Rbn0GZ3/gdqBu768bZF19dVXM+NAsYCX/NO2b9uJ5rWpWLB2G3R6rTS/Sxl1idbxt6ZGyIDU1XVHerr8HdZpSVgdGD+t9uDTqDmHHWRUZ6mXf7iVXP70y1J9SzAO7yYmXgh9TGhniaNRfbDq0/sBVFZ9j9bWPdiy9V4pBbBp8x3YsJ7aEtXeCS5XHAbCgYGmbZh06rko37UJsMpnooPS9Jh+z+kq112Toj5FhCzVSbwQFY/+UzLzMh9/vLRNiljEG5RCCkf6LTfD21CPhNNPx/4ihvh9ViGiUvnoP9Hyyy9sqrVx2DB8cK9QdFmfEAeMHIfGmmpsnCe8ltyBg1G+YxsaKytYREZvMEKr10Gr7Zw6gs9WluDdxcKP9xunJiPczzKJnK/+r+2aJiI+e4tceaqAxAd1/iz+SzAP7Nn7ItSsBzSeDPTv9zhSUiYiPW0qDIZEDB70AnYXPIf4uD7sTJzYvuNhZGVNg611L2JjctncJ50uFl8vuwJK2e11xaK1Rj5gN1TY4PX6UPjr/0X1Xqzu9TUqzTUYXH4mfI4U+H0aePZRwHh9XmTFBawurJXYe+00Jlprt21HzKDwokKk3Cw44AaLF6LC1g0rK0djQ/kwPIlApEsDfPovua6ibGcjBkwYzMoJwqUp6P/z1y1yZGtjWRMTMOEEweyX5PqN8x8YhbhEI445sycTMHS72+WNuhNJKaa8XieLDlKkiNyXg8WL6ArdEQEz6zl1DZnIW7f9jpTseJxwxQDk9FPblVBHFKV8RAFDIiWxUagrJXavqZYEDKUJadI1jf4JNy4gXFNDWZnwuqqr+qgEzPDhf8ehggsYzmEFHfi+fS78rJTBx01FTv+BEYtEN28VDq6EPtbTpoBJShyFHj1uRWPjSiZgxMnHRGurGRZL22Zou9Ytlaa9ilChL3XptRWyfbhpFfZeIDhQE6J4IWIGyt4xUhdSFBEYOqvNfvppdAb0WGIExtPQIAmturf/h/UD1XUtmzVuVD32gHS99+hxTMBU7t6Jd++4Hm6HHXFJybjquf9GFJ2RCE4hNdhceOx7+f9obVVvHNcttAV585/lbECjSI9haSjeLLdNX//isbBbXdiwQ3jfwwWdxVlJRFwCCTonHK1u6PXUDSV36VCB8bChb8Bq3SkJGFEANzT8JQ/2zL0PPXzyyAi/eTJ2f3IJM9GTXl+Fle2n3x8+neLTuKH1C1E5p86Ojekb8Nv58/Ddhu0sMuNxJqK2xI7qrSUYfmJ3ZsIXLR6/B93ihQhb4pylTLyIVD0tCCp3jg+GitBU5ax+oW3OucmxKG+yY0dDP8wvFm8XBEyLltJd8uNTfZLOoGMH7HB8u66cPZbIrqrwxbi7VlWr/s9z+gnRE2OsHnoTvT9e2BqdSM6Kfv4QQW7Imzbfhv79/43MjNOxbv2VYbf7ZXM9nn1T+K5cN6knnjgnfGG5mM5qqXNEvr3Shu9eWYc7pwtu95Rm83n90Bt1qoJdgyYWJpdZ5X2jhCI00UAicdPm26XrFqvsz0NDRJVeTAcbPo2ac1hRsCqyG/Opt/0txD8iEvrY0AiMr1Wui8nvcTObL2OKCe0uWbFbcNhtC6V4oXEbYphWaa8ezNC6vZjy59fwVMhzapSYFB4cYhdScxQRmM5EtG332myw/CYbA9aVl6Bgtfr/pqhgp6r2JTfgydNSW83EC9Ha3ISlX3/a4f0Ibh+ev01dX1LvEc52k5KEeijCYXXjr6/kguzeIzNYWkZk+NQ8dlaelmNG97zr2Lq+feWpyCJ0pj2g/1PIzb0KaZnCa3LaItc4UHeUElG8EDTsc8may6XrdchAnP4+wK0+kDbV2LH2V7l2qDxRfh32uHL4FAMZ5wx+E69NfQ05idmISxCErtuagb8+zMHSbwqwYb663iccovHZ5pTNrDsqLSYNqS1+HPOFug7DXVbGLq0n+dB4jQfFI+XvkCNeD4c+tP7oX2cJUYFSi9x6/tCZt2DXtW/h2/8VhGy/dXE56sutqu4xj8uLZrsbf58l70+aV4O8JY1YH+b1FayVBcywE/JU/5cJKcI+Whsji4ZIUGRWdFzeWxi5pfvZRf1V0+WrmiM/l1JsjTwlH6b48HEGp93DxMU3L6zFZ0+sYNfFdupYWx5KFqqjSY2VrdJk9WDI+oTG/pC3WzClpR+iWeFH5HbFtpnKPZhwAcM5bGhtacZv0+UfiROukd1NT7nlbuj0Yc4ENBpMvuxK9L9QNnYi9DHyAaf3mcIPnqPFLZ1xi90aJpNawNBZo60xcDbabS/i4pzo0bPtWq3rrrtOCtOGs+Ce1Es4GzyzKLI4y3zwQejT0/cpAtOZaOMFAdPstGPXK3JbbrEjvBmZSOzZo7DCFv59Kt64jnWMiWyvbMGNH63GjqrQ94rapPv1eww5OUKLMUFn4A99KxdnEmWWLIwa+QlGjnhfWlewTn4OYvil6aquDjG8TvTr90/WuiwKmWDy8q7EwAFPwhQQki6H/Hna2bATr697HXaPINLICTgcTXuPRckfD2CARi6oPGH8D7BslX+W+40X9qmpulUqOq5M2IvlPX6QtnGa6lURqXMmnIoT84Wz8xizsH9lS++S929l28XEwus3IX/c5/BmbUcfowe+0tk4blvkg5WzmxGF+iswO/PfKMs5ju2N3uuFXqsW2DEGLfJSQtNJDn0vlClqu0+8Rh0dKN4qCH8qZv7kX8sx++V1+HWzWuhPtRtAgdVl3xawdJtIS70dlQVC0fm0O4ejxxC1oIwNiDy7tWMnA01Na+DzOVQ1TsHExvZAlS3USmHx7vApcBIku1YLAubk6wdj8oV9cfX/TUL+4FBTwYZyK/78dAdqSyyshqdgTTWLwOg8sTBbesMT2DVbfAm0Og28Hl9IFEaEzAuLi4vxzTffSLWudLLV2mpTdWRWlFMkTIO9eymFqsXAgdGlNA8UXMBwOp31JY04980lWF2kLozcX/746F1pedrfHsTQqYLVO2GI0MangQa9J6ciLt0phf8HDvg/6BTdHvNapsIHDQvFeuzCWYvRIIgFZdtpTve78d36y5CsdTChs9efghOmbkdOnrrYTglNwaXoiyhgxPlhSp7e9T1e+/O/OKEsshBKvV59IJV9YA5uBMZit8Gp1+GvAd2xpE82HHodO1hVJAvCxuDxYkSxutuK+J/3ezy56bmIfj7v3XkD6+x6Y+FunPHaX1i4owa3fSLXLCjbpPO7Xy856zo9Xkx+Xu6CuPX43uxyb50NqamTVHOPdgcODMTsEa/g5j9uRGySLHrFgz2h0WiZMV57HTDGGGE/qBPI6XFizp45uHjOxXhv83t4a73QyBBuUjR5s1StuRattQNRvV4wWdTEDkJ6TAbKNgpCZXO3xbBOjcfcMXFwKk7CF/X+Ei0xciTPr/HSACfpet/kvtJybOA1+QKjDojGuhY2O06J3+/Djp3/xt7C14Xn3nIXesR4cXuGEzekNiJVswKn7pCfY9Vwtcv5mvIb0LR3Cka49NjV/zI0JveHfawXRkUH3Ow7JmHhAycgJzlIwPiB463q9ueUbuoIlBiBoc4ciqTRQXvx4lKc2GpAuleD9y8ehV4e+X2m20UK1gjCNbd/MnoOC01Viv/v9LjR4PFYUVu3UPLpCaZvn4cwaeKf6NXrHpZCXFgi165FSnVVNttxy8drsGBJKVpq7dAbtXBlmfDnzho2b4sNDg2idEcjti2VRVzVnmYmYGJa1c0JHkMLzKmCSLM2hEZ+yL2Zxj5Ij1NVhfLycrzxxhuYPl2ub7FZk7Fnzzi2XF42BJkZXyA1dTIOJVzAcDqdmz9eg41lzbjho/CFaPsCDWLcsVT2QknvkQe3X3bUNEYQMPTDXFUtm9JRYWVu7uUYNfJDDL1uJ/pcUYRfyk9Fa6Dl1WU1qML+4qXTGYulm3NxrEFobabjWmlrLvr1fQTb6wfA7Q//VbrgAmEuTiQBQ+3Irp/noH9TmcI7VkCnaPUOToulxIePwNRbnVi2J7y78P5ChoAzH70XC4fItS5VyfGw9usNh9EAvdeHE7cVI6k1fEdHhPINifc+nYNX5supkaL6Vrg8bYeoP1uhThecPULoPKH0gs3pYSHzhR9tw5dPr0TFbqGI1XHRVtTElaDUUoodDjlyE5fUdjtpOAwxOsme/vXVb+DRJY9K0ZB5xaGuwz6vHk2Fk1D425PSOnu9ILomjnyHdUPRgdRhsGJJ74W4o7AZa/vGYP5I4fNp11vRHFsLc3wsvBoh6uPVt6IgVXDfdehsGJY+LKwoE/G7dFi7agM7yFsCB7TCwtdRXv4pCgtfY4WodrvwvuoD/2cx6zXIqBSu3HiPDj8Pl6NZ7w05C61VI1TPUTRhBHr862WM6C5HH0bnp7D6F1F8E2aTDidqPEjxqT/fwX4nYgeOUoQOLnBijEuP6y0xqPhe3ZrfoOjYEVMy/ceFNxuUBEwkV+sgKF20aZPs9RRMfv5NbHhrfv5d2FGXid9LQwXMzmq1gPnX91swb1s1vpgl1EL1GJ6O895djus+XI0NpU3QhbFCWPuL8FskUl9hQ81eG2unV+LVOeDwBobFKuq/SMSSeFHanBDvvPMO3nuPOgf96NVLOKlqaMjBxo2nY9o0eQitw9H5gzI7Ci/i5XQqNS0O1FldUlsjGbXFGff/Y/bDK3IYc9KlV6DO+iHKd32BsRfeAluNHr1GKZxnaZtLrsSyrz/D1OtvQF3dP9m68ePmwmweIBVY6k0+bKoTfuxtujiYvTbkZd6NvKG9pNlHLmc86loysXrDNJghTEsnmn0m1LnHID7hGLyx4VYkwoFTknfikVvuxPTp06UzXPJJIiINQWtR1JHQvCB3RWB6cFYWmy7tbQgfxUoInPnT9GoK+VKkgA7WJB7J1feli4bj4rGdOwts9ZzZbH5UsMNuDHURUadKs5Xl4IfNm4fF98h29MVZ4U3C+h4zUVU3s4em0ZsnqbbZW2fFwG6Rx4IoO1CundgDAzLMuMBuQpnGiyH//g3neGMxIKiu87fGOdLy2oK1qM9oZuqqvLInm8zbEQwmHROzFJGbtWU2ENBAWZaeyCkfAKfbBZNBFkZ1W85Dw061n5XXmYCcrL/hp9cqpTRRbc4eNGXIaZ8deUactaYVn41+An6NDy9OeREbGjajurIG6zLWoMhchJr4Stw+7Rr0TJIFZoxZfu6k/kvRUDCGGd3tWl2JDV+0wpxiwkX/7KkqMg4uRNW4gNT3ZNFhidOgSvE5aEzojj5BAiS+xznI6jEWL13cimfnbseNx8qu7cqoVpILGNMUWhBPtUhKKCpRWdCEmuLwRbp0u5LSvWV4dVEBhjb6obd6WQql9yihIyqY2ICVgd3SvoDxeu2orFIf8Kngn9qkCbN5IIvezVxWhH//KP9eEGcOicPcrcJ3obhe/k5YHG4s2F4DjR8Y6BYEsSs3Bt4CQSD8uKECd5ySz1J//cZmIrNnIqtl8nn9kgAj0dtQacOK70LHVVB9VLOlDrHIlgQrzbx69913I9bk0fTyjIwiJCYJqa76+u649NJr2SyssrIybNy4MaxB3sGGR2A4ncqPG9VGV7uq266NiAZKMZBhnUhr8r/YDBXCk/4usiatVfltEMecey7Of+oaJPbdDb/fhfj4/pJ4EQUMsbxSKPZ0iEPJfL2QmXka+3LSULUZHy/H9g2nwQzhbHdlz0H4dch4/OHth/ImB16ZvxNevxaN/jiMnHI+84YIZy8uFvEqvWO8ViuqHhc6qtL/djf6/r4Q/desRr+lS9B7zo+Ia2OYm9kkCBi31w9nIErx34W7mXghXvptJzoTj9uN4s3hU1wOn3Awy2mywnzCFMQo3E9LM1qxbGj4H8ne18oTcomYltDU045KS5tieVUgTXnJ2Dw8fvYQ7FxRhT5OLaY4DOjj1oaIF6KyVQ67l+8SCmB9egd27YrsuBwJOhhTJwth9AqfIY1fg/O33IdjSs7EkvlbWN3G+HG/oW+fR0PEC+H3mlC8qpfKWK8p3wJPjPx5dek18GkAj86Nr8/6Gr31vVFZUwav3omy+DL4tD6MnNITU4cEOb4qar2gr2Nn44R1byyLGlnqHdi6SnZJDo4W2aoGwbRB/jw3moEhMR7kpMmPm24IFQYNFYKgyEuJw9tXjsGYHqE1HDE+4IpGtVDxxjYhsccyaLQaHHuxPL3c7fSyupf2qNEK34U/19ZiZKmHiRe2HwNTERPGc0mdQopcT2az7cXSZcfjz0VDVetpBldOziXSdVPGSzjplT8l8WL2AYZAoOLBEzVY+rBQm1TS0MrSRsQV763EEKcON1hMiPdrYDG04OMlCzBMV4kEjQNbKpqRnmfGDS8di5NvGIKENDk6pdFqcNm/xtEsCzTEb0FpszqdrYl1wa/1wqcVXputSTix2rNnT4h4EYVlTEwLxo2fjb79BLsBn8eI1tq+0kmYaIJH0ZtDDY/AcDqVOUECZkdlC0Z2V/sVRAtFFhZ9MgNrf5YLFtOHhkYkmppWYkPTSpx0ojBLiNi9+2lUVH6tmlyshFxSzen3YUeDcLZq1wl5+bKKWuTX1bEwKgkYZdbDYorF+h7CQSUupwkoteGdRXJx8JDAWPphw4Zh5cqVrP5FRPzSK89aqhTu07HDR8g+K4FOn4x77oHGaECiwk1UejyjXjrzp0gXLb++UJ61U2Nx4r8LduFvJ/brUMtsJJZ8+TGcQcZ9wSTYXTD2FeovMq44EfNWz8bGvs3KuYoqrph7Ba5TuJ+kukMH6hXWhX9Ot9eHcc8K89IGZCXgwfG9UbShFku+lt+DC2yhHTCzh8ot6lqfFroK+eAcPEA2WnQmDdAK5Db3Z+md3GZZeOz4sQk7fhQN6tSz4yjdk2RugLO5O/asVNeAlKcLw0ZFvDoNGsxaTM6ZjEFpg/DZZ5+x9Z4UD1w64eA0Nkv+jBc1F2FV1SrM3bUCx+Astk5vskADej+TofHIB/O9W9YjXbYLkajbfCUadh0LrXU2UiG810uv8+HmDEG8/DFoLJKbjeipEzxithk8GOzWS9EMSslEEg3EKJf68PN2oh02jQnvj/8QK1YuwahjP0XfsZOZb0800ZGq3jH4q7oZF9tMyHOq62xScyLPdxLrhMIV8fp8Tmzb/hCqq+WonRKvzw6Dosvsybl12FMrfGZTvBpcbzGhVO/DoJP/DzHae5GRYGKjIqgZaOJzv7OxIbtKm/E3u7C/lH60p27EUArHkHs4yjC70sx+C8ViY2V6LS03HvFJJvhTG+DS18EVUweDOxHNKVtw6cWXY8PGdajZTVEY4TNSsKMQ4+092EggEb0rASZnGs68bhxmffs1snN2QaeTBWrlustgKjsORaus6HaOPDspuI7qUMAjMJxOgw6gVPtCnDYkS6pj2Feq9uxSiZecCdXImxz5INPSslkK8yrFC2E0hnYCbGo6E35oMK5nKhKTBZFVV9+AFStWMPGiZG96Npb2lSdM64OKDOn1DssV6lxOOukkZmFOYzKCIzAkYPxuN9zVNWj5cU5YjxcRnTkeWQ8+iNghoZ4RJErMgdQchaD/2BHa1fDfBbvxc1Cnxr5Azrlrf1JP5NaEMUgxebzQJyfD6rLipaYPsbGfIF5WXrESP5z3A3on9cbO7kJIZGMf4XPSojgxj/E5YfCpz4KVHh9KFu2UX6/P6cHXz6zGr+9uYZ0WbVGTINR2pMakYkrlFGgVtUv7KmDsGuGAdXzhJehXOxZnbZc9M9rC6I2FIT58dKrQJIgdc8NHSA+cqTeYdRiTPAbr1q3D7t2CUItRnI2nxAjdTq3uVlzw4wV4esXTMHq0aIqpxuJeX8NuaETfgk0hz+VsFmomRo6YKa3LzLiAiRei2CzUcVU/4cLowcKBrcKahVf7X4PG/tdL91kZ48HeSUmITRAEgZiuCIsfGOCSxeOseCds9F+hAVqcZjb4kk5C6OBsTlHXw3wbH/7AaUo0wqINX5dhTg4Vs8FptnA1MDU1v6FgfTFK/7oLbnuo4Vtq6rGIMWVjafk4zC+egvWlwueboi43WWKggwY9PTpka9xwuxug12lV40Ouen8lBgTSRoTHYIEmIF5EfE4rOyERiVe8FkOsjrkUW42ysVxSXw+OGTcWA4f0gyEQqfUFusEsTQ589NFH8oP7gZSGUYiz5aNyoxsGswW1ebHwBqRBc/F4tBQJXWVr5wrfHZpZ6NTp8UJsBh7f3fa09AMNFzCcToFqMf6jKMAcGwgZRzoARcPWP9X29/HJdpicof4tIqvXnIfqml+YuVQwuYowL1FQY8Ezc4XK+1MGZyEuEB5taWpUVeQThWndMG/IeBSly9X93qDiyOlXjZEiHWRUR/bnSodLZQqJpvUWTJG9ZNLvvkvVIh0tYh3MK/N24flfhH2+ZmIPpAUKfIk/dqhbh/eFrYsWqupW+ta1YPIuwf9DCb16XXIyvtwpt5MOSBmAOEMcEy80BHDl4AbMnVCFDf2EVNfKcVbU5MpeLc+ekovf7j2e1fAQ5Y2hnx+qhfh+pVy8e2FD20ZaP8a50Kj1YY1JPqt85ZhXkOpSpzVIXJIzaTAzNs/A/X/eL7VFK6F1lW75vTip4GpEy6buv6M6zMiD6iQd6vxJgN8DU+sKJASKopvjtaiaV4Uff5SHSyamyvVByaZk5tlC4sXtEw5YKa5EfDnqWWzrthRftxYjxhHqxitOq3a75Zqp9d+oa5E2jr8dFWWXoX7HqbBVDcay8nG41KoWBQ1aP+ISTVKEgNJTkXhr2hBkBOpm0k5xo8ggC89SqxDJrK75CQ5HBWIVJVAbjB7sVWxL3ToisWYPWiIIGJ1YjRwGUXC1WuzYsfNfbIZRSckHqKj8Blu3PYTyJXfDVjkCtRvlERATxs/D4EEvshTS4sIUfLD1Kny5MzBh2w9cZ1G/N5SCcbkbpFZyCT8wJCDkfBoPmtKEYmwlaZpWlCm+B2LEiKh27sScOXPg8Mm50rgUPSu2FQYwCq/brxE+D0Z3EupL5ZNKvVuuP6raZcW60fl4WfNPfOK+FQU/PY/S1Tdh+ulJeO/URHg1wO8fb4dBb8LObj2w1xCHd8tqUeo4uFYOSriA4XQK//5BLlg7dXAWcgNeD+WN+xaBcbuc2LF0sWrdiMpGTFzdiLhW4UAUFye3i4ps2XJXSJFdYsJwmEzyADbqTjn5P/JjD8lJRHxKCtaOOh7lOr2qTsVuMOK3ocIkdSWtBg3Ek/c+GfHtttuKKSSPx4P6n36S1iddcAEy7rwT+4I5IGAoyiJGuq4c3wNxJvmMbk+EFEy0+HxebF/8u9QJddINt2FAvQWJQT9a3euEiEqF1oLX1slePS9NeUlazo7Phk8H1KQ6pfeu1OPDV8ZxqA20q49O8WNAtwT0SIsPK4D3rq9ltRApa4Tn+/fx/eBtiZxeWGlyY6fRixmJTvwR64a34Xj8O/EJ/PSx/H8wZNwQaTZMcJdYnb2OvZ75xfNZi3QwTy1/Cq5AXUm0fDT2UYy/MRsv3PsgThx+trQ+vocT5mwNGk8XaoiM9vXQ+mxoMQjitDStFl63LOCp1qpbj24qAfNX+V8ot8pnxXP7zJKWyxLc0Lvl15deJ0RjPM1pSHtZjxlvCDYFjsbusFSrow31sUPRWHASajddjNLF96F25xnI9sqHj19iXaxGh1J7koBpIwKTWCl8fvqOzUSPIeoi7TKLPMNo6bLj0NgsC2j6P1TSX2FE6HAthDvoa1iq88KmI4+fyAMY3T6hXsze4kBZ2ecoLnmXeZ9s3/4QmgrltFxrrWxGFx/fB9nZF6LJ7sOdn6trcyY59UgOKmqmKJfbJQgYcYwIMdmhR55X+L46Y8KfbKRqW1XfA22gI8kPP6qdoXVbzdbQNLsYgSEo4gKflkWJ+2cKbdH0f7c4zo+lGuHEar7xZPzaNw/PXZyKuiQdqlP02NPNgPWrq/BmoQdrA6l04rvq0NTvwYILGM5+s66kEd+uE85CaZDe8xcOZ+2SREVTx90txUnSzlb1wTfXYYPOB4wtiMWxu1KQEDQBONjplCYCs/vlCl0VZOM/c+ZM3PmCbG5GDMlJwsa8XPw+/lTMHSn7GtB53sxJofUndDJHLcH+wNnzO1fLEYRI+PbuhTbQueE0yWdnxu7qlsfg4uUfXv4/7F2nbkf3ejwoWLMSmd4mmD0WxHnk96l/llnlvbGzqoXNXtpXijdtYPsRk5CIez75FubUNKGHnFo9A6Ll9JvvwtByoXX716o/pPveM/oe9EqS6z7EeTp+vw5eZwazp3c3C++dIUmIhlgbhZRKVqLwHtVZ5dA5mbn98o6QJuzm1aKHown9WkOFY91I+YB4/FD1gau1+kzMXiun1damr0XmsEwpWvbfpf9Fs1M+yP97mTy2Ymm5MIlchFJlP+39Ce5AgaSSAfdq4Amc9QbTP7sPxh4zCKnxKUhUmLpVN5RiN/7CDxrhOxNjE2pnHDqhtsuTrE5b3nPPPYg1yfdPMCTgb78LbtSRsMTIB5tu1YEiTU0MtCUJ6FEstCI371ZHX8Ix1SFHATwxzdhiEj7bibEGKcVBU5TDQd1yolnbwAnZyAr834vU2dVGcxqtLNo8GuDqCT1w5ZMTcNK1gzD8BFnAxOo2QB8othf5MsGFdxId0McqPGLqFqKoaDqzWHA6a7Ft17Vsvd9ngN8jfzdpinfVajlF5rGnICnhFIweJdePBKdou3k0mKx4b2iAIuFszpUiMPqAJYLeT2JH8T6mKNKiejnNlKRxsEgkfY9nrSlFjUX4fFiS1JFiEYtV/vyKJ1ZKAUPkmPtjzKixaC72oy5Bi5fOT8GP49V1WMsHqeuIfj4mHp8fn4C5aXo4A511T/bNwY15HY8edxa8iJezX1Bx2QdL5Na9y47pjtR4IzMYEw9AYpvvvqSPBk7tj+b1q5AOO/SB8LChSfjR6N1aDU22D41JBjgDfhxKxo/7CS2WLUhJFs4y5vyxHIWFhaCy3QRNOiz+GLx88QiYTVr8lSjUwNQnJMNqjMEvuaNRnx9aN0P0j4vBNpsDfvpRtHmQlRjeg0ZJxYMPwjR4MOxxcUzAxAeKebWB1FU4/vx4BhNy9HfHjM+ZD0vPkWOw4tsvsGL2VxhFhZBMaGnwTc75qDZlsfc5VjGQzuH2oarFIQnKjiL+PwyaPEVyOqbnoP+JweV1OPWr2WyOkTjJZ5F9k9RKfHZvObpAZMQJRc3OqrPhbpoAU+wquJuFTpP8nEy01O5ibstEmjlwEHR5YXN4MPfV9SEttJc4stkgPqI5eSsSmwT31hE97SgPROILqigyqC4iL/SloZ+/jumwZmMzGhwNSExKZAZe28q3YfrG6biw34UsmrG4TI7U7WyUO7soVXPyNyezZWprDqZbegY2aYuh9wrvWXHaWmS25rKz7IHJA5lR2Pr16zGwuyDg6P106b34ceSxcAXqi4yOrdD79OjXkIoNKUBL0Pmm2WyGuUk+6Ly05iW2X21RmSx3OpmcTTC6WuAyJsIek4qsqmps3XwiTCWCiM8vmQe3IQGV2RMjPp5Hb8WxV/VAli8d36wtY0aChYuF7yfNlArHz29uFEzjNED3QSlwsGOrPEKgzq4WNF6FgdCYzE2478Qx8LrXIHdYJsrL30FCXhyMmlZcWLQA98fMw1uQ67VIP3h8fvYdoI4oMqETPVxi43qgqOhNaPROaLRuJmA8zgQYDfSbpcHen58P2ffclOeRkiJ8nsgpmvxblF1VV1vVvwVn3TUcP/x3A9y2NFYDg93zobWQUElCP0XtS9ZgA2ob6LOvQfzY8/DAmcOYrT95tJg1TlS3OPDY95vxxapS5mR8idYJZ2x4vyerzcoivWRpIKWQggSMe28mpt/9J1teOtkMl6H932drrJb9iRi8Htyq8Pk5FHABw9kvftpUyf4IvVaDO04Q0jokYgj68Wixe5CkMK9qj5a6WhRvFo5Ak0s+Q3J2+ChOXEsLhrQANnMMVoxWnz2w/dEnIDVF+PHdWWXBgqWrkRX4/uVqm5HROw8XjcnD7C074NHJX4VPJ4ZObb6nRxZeK67GmelJ8Pj9goAJiCaxpTkS9k2b4CrYA1OfPoKAiZHP8kx9QtNgYtvynrUrpes0/NDjcmLypVcz8aJECz9OqFuMr3KFHP09A3x4f9sarEwcDb9Gi7KG1n0SMDR0cedyIZo16LgT5BsCP4r0b2K6IEq6v/sO1myZjz3x3yPPnIefL/gZWo36gEvzdPxeIxMvxJatgrCE1g5TqvAD2xpI4cQbdTDqtczIbu5bGyP6f7C7G/xwmRpQn7GSOS/XrXAhA4J5WKujOkTAVPoS8YtrIE437oBNb0OjsxHuQLQk2ZmMksUluG3tbaiOUxf1UmrG4rLgxz0/4uU1L8PjE8729QFX4ODX2hi7Et2sQgTKE1cJq0GIlKXb09ncGTrI2JtIcJixqr8J80aphYLG70T/psFIRCLo22A3qOsqaKJwL38vjE0Zi57xPfH1LrlwfUztGKzNkK0Hxu6OxZp+dsw7TYupgdVanxsmRyMTMC5TElIaC2GtOAc6XyyMzib0LpyDPb3l4ZTBVMXUQ5u8BfHm/rhsYD4uGyd0TlUFakrCdQ5t+qMUJdsCKQ6/kA6J1abguNzl+KtceP2NLjmFRKxt6Qlx9vPVg7/Ezm0L0doqnzTlTgIG77DAUBMq3rIS/Chv1rBIMAkYSg+J0GR6q3UH+zjrjDZ4HMnwBWZQFS94VPU45JdDJnDNtXZk901mM8hO/29gppUfeOKEfij5WS6kJa57frI0e8hty8SuBcdhdOslGNv6KHKc6Rgd6MLaEOPBBf2cwEoasDgQl541Qpqhxp5b48IPG8qlyfNUD9Pc2wIEOVTEt/SBzVzIWqopFZqWlobU1FSkpJTDags/zoI01K5M9ed3UIkT2/MjFz3L9z308oGnkDj7NTLg7i9kb5Bf7z1OEiomvU4qMq2zRdduR5Gav76YiY8euIP1B+fFNSHZ2H4KKt7qQKxdXdw7erRQSOrz+bBy9Vrc/cY3yNLK3/hecS68cfVoHLdiG+6obfs5HuiZhUd6Z2PTpCF4Z0hP5MUI4kxMIUWKLln/WoKWX39F0SWC5bgp0HboMMUgdswYZP/f04gbHziIK6grKWJdPx5FmyKJF2LpV5+Efw+8NjYkj2qHNr3/Eo5pWI1zYoVaiNIwhbDR1L58rpgkndmzj7Scep0w1sB80knSOvPxx+PjPsLzndf3vBDxwu4XkwbbntDhiIbEjfip6he2LEZg6D1NjzdihFOHmt3quhSLR23W5fK30tEefp1bahdtStkEm7kIqfoWTNaHmnvV+BNQ4UuES+tCXWsd1jUKdQy9rL2QYc3AsdXHCmERem0GM+INQk3O7N2z8fyq5yXxQgxIlWsjRNJi0/BH38/Y0MVdQxcg0S1H2mxVNiZeiN17t7PiyHmj1G2+d+aaYfQaMah5EGLdwv+93WhCv379cOmll+LOO+9kXVMzP5yJHut6oHaVnH7IteWit1Y25LtmgRc9agTxlJbSCHPCNsTbKhFvq4DRLQhDlyEBZpsNic3CgS67aiW0fh/04kCdMNjiSuDWukM+/9JsIYs6AkPDBv/6Sm5zH3umYGFAxm9Pn9Md750vpAebnJnM5oCobU3Fr/4kbDd48EOcEwlGq0q8EMlNLmTXyN+VDL0QzUlK3YKUGGEfalpa0Ny8AUVFwngHorlZrl3RGoTviDnuWDhbusHRKJsBnnpzP+QH5ifRLCFK5Yx4SnZZnuTQw/ZDGdIovxXg/L+PZqk0ZcdQY+FQ7HYch26WMZJ4IYqNXmzaJNQjjRo1Sn5dgc7IGI0Hllbh/6Gvrg6T9IXwWoWY52p3HmY6xuJP23DEtuYwk0L2HjYJxdo9e5Zg6LDfMXmy7GKuhAwSHYpCaPa8tugGNGp9fvb7eig59BKKc9jymCJ8SvRKV0dB0s0m5lFSb3WhT3gTTBVl2zZj1fdy0eGgxOg7aCatbsSmkd1QmygcGFKSj5GGlJEny6SgANDgZD/mVtdit13+kc2tLEZ5tuxLIq03CT/ImSbhQbKMwmVuVjxuHRC+hsW5txClN8vDJgmTIzCP6YQp6H7nndAlJISNPn326P3wuDtW2R/vc+Dqsd2w+odvpXVZTbuBmO4o24dC6u1/CeFl8QCjC0y5JdJvvw1xx4xF7AjZPn511Wr2R5zb91xp/ffry/HCrzvw1pWjUWfTw+8NEylL3AiHXxCg9oCAIfpoDZhgDxWHJucOQK9wdqXK4CDcpib2R/TT16HMl4Rinzo10ZCWycJIyyuXw+fxIRvqGTIJ7gRYjBZ8csYnrBZmU90mFnlRckavM5DvzcduqD+rRp2RecLMGzADZ5UKPiwirYWtcBhM+Gn4ZGQ31WGQRv3h7NtQjUePHwbNt+fDAw9iA+KV6g7OOOtspCYlsjb/Z54R3KlJhC3KEQ5QedY89HCejtZYOZVB9aSZjYIaa/Bq0X3Cq+j2TxMoEfjr4N+xPe8r3F09FB7DSdBAiH5o/OVw5+QgwV+EFo0Puww+/BHnZnUb9zUL0TyfxgeHzoGsrKyoBMzuVbJrsjFGhzFnyN+1nj1uRUqGG/huHixODzKyrkJVxbtYXnUsK8z9Kd6Na0eqnW2JGLsXYzaph36emfIctttPxmDdPCzwUQ3LMdi2ZxZ6aOVxA5Qiam6m2qcaJCePYkM5XRYgJ/Nm1BReQ7KfbTfmzFz0G9MdzTVFUmfVvV/JnULU8TxZUcdCTDhGi5y+gvjQtpSxtmh6PmJBszC9WsnVx5qxZ50dCQkJ6NNHPlEgvxVK23o9bsRq3PD6vTjWoBZv5b4kZgVRpDNhdrwLgzU6UEUKNSJYrTtRsOcJtp3XGz7dtKGXOtJitvtgCDj8Ei/0z0OV041Xg+abGdx+nL2mHs5JTqkA/lDAIzCcfeLXLZXYWiH/cGz896mq6npCbOel+TztQV/S2c/L82GIzJjQDhrS+9/gDHyL09mykuEb1FN2yVmVxIsSKi+gzqKZ3Xrj/gL1Qad7qXpitUjPWPWXPD3gv9Ij3aCySFfS9M03IesyTpzKLrVjx4YVLw6bFZt//00lXgZMPC7s4+cPG6le4fdj04JfsfwbucDQ1Cyk9qwr5uKD+25Dc010PidNVZX49e1XpeuXPfWi6naNXo/4CROgDfxwke/IDb/dIN1OxbnE2uJG9mNf2ezAFe+twI/rw3ueaI11cBiF/83W5ibmXLvi+z2YUKguyJReqkf9/+zV2dmP6MSpkWs1RunLoYc6SmfRCoW7BU0FcOpCP6PJLuEglJuQi1yz0NobzMn5J6uiTYkZsWzisd3rw1UD78UUn9wuL6LxarA5tw/qzUnYktcHv48I6lihA92CBfA4hdcf43FJvjt2g4FFb956S4gk+ODDnB5yd5Rf3x/fj5qCjwaOhxHCZ2xIsR+p3YUIT4NHA38KsGtaDsrSjVjbew9ajS34aYIOBX0Evxf2PHo7un35JR447la8Qx1ccUL6QhFkgN5nwGnnnSZFCkKM4YJSSFuXCCaXZIV/xZMToDeohWdirB4GnfAEiRm3Aamv4ocCoc7oxYuG46oxoZ+HoTtCU4tmXQOOMX+NeF0TpviEKMvbqwZje8kKaZvi4uHYvOlUFBeNYEMXk9OEKFrVHgc2BOqqTrpuEMafLaxPDPjt7C1uZmadyV4N7myOwd8DYk4k1boXcS/dDtuKlVQFDLw2Alp/5C653EEp0FmF5xsxYkSIi3dMrBCJioEbYxNCB8E2++Xnp/ZyC4T3ngRMSemHEZ+3OU6Lrd2NKMoysN8O86IqTNhVi6v/aIFZMePo2tx0PNRbLewn7LDjodmNGFyiQavt0LrxcgHDQZHdid/r1WcxbUF1Cbd9Kodf1//rFNZ9FIxYB1NnixxN8Pnc2LnrKSyY+X9SmkQkySCETf3xGcCx9wGXfoYfNNOwBQOxGYOwBMdgCcbCCw0cMGIXesHkM6N79xtYDljpNimySD+MdRaVpYa2VWZUq12ExybG4bn+eZiYrA7vG1uEM/uC4hImOoLxezxo+laOhBCtV16K5lbhxzac10j5jm34381XYsW3sodKWKES4My7HoDrgofwRc5FaDAIYf9Fn6i7q9DaghRXI2I3L0BjRRmWfyOMX9ha0Yzd1RYU19uYWGmoKFPV3rx/jxw5Gjr1VOT0FysQZKiokFJ+xK9FshU9+b2I3DhztaqYWKyVeub8oTiun9y5oNHbYDd6pRTS/A+2Yu2v6uF8Y/42FD/HOmC1/gC/T/6s+n2tqDP9hcyTMrHFro4IihT2L2QTxK8wqUchlNfLR2OnNlTApLvTMTB1IGL1scg2q3/ERTLjMlVDIK9+eiKbeHzTlkK8Zh0Fe4vsrSIOeaR/d2fKkbv6BPXnq0d9FZYvl2dEjR83DvGBlNVrH87E//3f/0kpAhojIELdRBsUxnIXbJmMpz/2YGjOaCROE/5fLF4NtGl3YeXYJ/H+JFmUVVPtRICU+q34vfdEvL6sCjU2d8T6tfq4CmjNoYeQ2MAcI7L/d7uE/9ea4hbUlVqh1WtYYSsZ1AVDqai0eGH9Kf9dhhu/lA/mo7onw2RSD2M0Wz1IsihEza1/YdMxL6i2GaAY+PrwksdR456EIaM3obRE8BkqLR2GlORJMAWmPW/6XX4/8wensX3yNDYCL96PHsW/oabahistJtxsiUFcmOmkbr/wOOz7/82NNCcCGpoWHoHY3o3SCItBg4QidNVrNAufjZ66RuR61cJ9kyebRV+U2APPb7E0oaZGSMuKxHcTUnRunQO1mWuwO184odHWO+FxeOF26JFu8WF4kRO9q9x4TCFcbu+ewcTCYw1GnLzRzp6V6s0aa/Z/VMz+wAXMUY7X78clG/bgik17saghcqGkyNzNlbjjs7UqDxVxMnIwYidJpAgMHQDXrb8CpSUzsWWe/JgiO4fFoqkuCZqrvwNOfgLr7DnY6JfrDX7HsViA47AGI/AhLsZnOA+11Xfgptnj8eEPsneEknOvjDz+Pa5Z/jJel5uOL0b0wfW56SE5/sZ1wsHFFhuP3auEGUw+mw2+QGfRnmnT4FP4iTTGmfDnljUo3bguooD564uPQgYlEnmDZBfe5Cz5ByUuMQmaxAzUmTJQYwzNzxlihDOzq8plQVRZsJMVM5/75lKc9fJ8XPb0F5j58L345OF7WKs0/X+8fePlqseZcIHaAJD4aVMFxj+7EK8FRhd8t1vu+nj2uGelmVhNgaLDYC4/Jh+xirNvDaUiAm24dqsHZTvUvhKf5S7H/2b9hLzm+dC798Ccmgx9dhM8nt1wNk9HamkBZi98B4tq5Dw/FeeKzLxCcJjVavwYkiKfXbY6NWwOEREuAnNCygmYefpMSaiIXDXoKjxz7DO4YegNGJExAmPO6Imew9Jw6o3C/9VOmwMLGyzwabVY313+vE47cxoKMnLw0/BJsMSqRcsxiXGY2zsNU3esxaBKecowGSKSX0degpB6qw9094mpo9WZskhM1pyveszChCwMtiUj/8MPkBowSrT7NbjltyrMbngH68ZmSAfAhrhKabr1GyfnYfb5J2NGkhferBgWGTEF2oGJ0/42Ao3992BD7kI02EM9Ryg9REJF77ah/B8Pw/rXX9i2VBCvfUZmIFYxYDKYNNEV162Or/bOMMNokj/nwwe/jvHrFKZ8184Bsodj+LTbVPfr6VG0Jvt1eOSPy/DAdNkIkL32hgZpnlW4gZINM2fCu2U9+hT+iAyHDTkK/5tg8kuFrj3LvHkonr4K1BSmDYkVAwNi/kBitzIsXyt3uQWn4oikwP/7EH01TD7170aVURbBj5whnGQ4/ILY3LPnM3i9VsTG5jPDPcI2cD5K+9CQ0FVIclgxec9m6L0ejNYKn6HSRhemXN4fBi/wUd/uuKuHvD+P98nBtmOH4tazBuCEy/uz+UpEU6C26lDBa2COcijyUhIwJfuovA5TUkNTGyKlDa244zM58jKwWwLevUY9Y0hJeuDHiGpggqmr+x2VlbNZIV1zsVwXMS6tBFaPCVkxVjSkGWFaYEL841nw2O0qB1Ilv2AqHHoDZo2Zit+sTTi1dSma9soHqsWu3jglsQInTj0Rf6+gMzJ1mPbkbavxd99X+NDTF6f9+R22JgzC81MvC/tcVCRbvWIxcP5QtMbGo3zbOgwZfyz2nn0OtYXAfdN12OJpxUCtBnqfH7rcXCxPDwz583rCChhK/VAEJliAdOvTD0mZ8o9IUlY3NFVXSqZyYsauxaD+P7vmxTdYC3bJlo2q9RRp+XjRdiTbazGl/i/kOKuYawZNkf726ktQF69uAb3k388hKVN91ktpobs+Xy+NKnAk/IANtUJNwK8X/spSLdsqWvA3RXF3TlIMKprl10yOxT3S1J4mzoC7qs6gHspTq/XB2tQbw8uE2T+EuWc/7LZvQoxmbyBgDpywLh0fnVGI5IRkVpeR06ruZKEput+3OJEzpg/OajXihV+EIkifOxU6XSWmVMipHpvOhnhvPEqLSqGlg5UByIiVD55n9T4LQ9JlYWmK1WPanUI9ELk4P7h5D5AhHFwoTUTQILyEvO5YYJMP3ia3S/LT8O3dhR/nrEHwQAkSL0SsR/gOUScSRXKKEoqwI0lsXgfidHGw5smFx8Su/N6IPfsc2PxaJBrJ2VfDijZisuaiJe02OOMnI77pK8S1/ASf1ovG2Gr4DPko7C+nRd0j03Cy1YBv15ZJQ0P7Dk6Dr7kSnl0u1oIeDAn+uAQjcrb9CHvFEpT++hO2Hf86tRyh96i2226pbi6Y7+6YxNLTJqP8XYgvUQwrjUsHeh0f/vFYkTK9KRoM11VgtKEcCDp/qNy2Aia/+iTgwocC7e1er2rkR2rjDlRnhQ5ZvXBUIYpnfI0Ei+AQ7Xc60VpjgrXKhDRTMSrd8uc6JcGOofGfYwlk1+Zu3bqxtudgqFVeSU5uHP4oFsRvRrckVLQKJ0q3TunDLAd+XtkA+lJXuvOQi3j0zDoHsbE9sLepB17ecBsupyik4nysW3MDxietwhb0RovDg+7HZOHGsVkhM6zo/zTZIOzf0Cl5WPzzevhb4llR86GER2COcmZWyHUJW6zhP4zkAjl7XZmqeI144NQBbbbnSjUwQV1ITlcdVi+7HdVVv8Dn1aBhh5BDPyatFMdlFuOMnF3ISG1CyjvCl8hVWIRFGzaiPCm8YZJHo8VHk6fBFhOHovQcNJjljo+PHWPgS+mOh2+5DP6aX7Fb4b1AmB2tmFa7CCPrV8Or02P4jrXI2SOfAQdTsHIZ9PXCWZ1Hb8DeZUvRPOcn7HTbsFrrwtzvvkBJehK2Z6fBcvVlqLmJCgIDBKY2KwUMpWzmv/dmyPPc8vaHuPDRp1gR301vvI8bX3sP+UPlolmCHGsJi17+kTv5pjuQ0aOXSvhI+P3w/PIuLq+YxcQLkdjqxJiiaowrKIfRLYfjT7nlLnQfPCzkIZ4ITNmV3t/18riHrcU6fL6yBGe+/pcsSHumYkxPuXj285vHs8u7TuyHqQMycNUJbkzMnsiceV1GP3Qmed4UYdP6MdSifs69tcJn1h/wpRGZsj4dm1I2oDijGN4BFLrXYEpgZMNJ51+IxQNGYY7Vibg+ZhjjhHShz5WKE8pPgMmvMBf0BbrM/H5s3iyE3WPdsUh0JapmDoW+vX58NmsWNiXLB+mW2HgmrtOmnY8XatXF1P2q5bZbvaJ4WWTo0KF49tln8fTTT8NSJmxbkpqFgoQ9WJe+Dq0G+fEmjv4c1X5h/179jzAktCQrBzcXJWLKS3+ioCETPk8CPIY8ePWZTLyw9zf5UmRYhTSXJaYO27NDXVUvPb4nBueo/YrE96DeUR+2/qvHnjnIqxCHWAIJFiElmNkz8gkSoRyDQVw1IR+j8oXnMikiMKZNspMyLlenXV0XfQqHKZ2llo1+HwZpK3GNaY0gXhRoApGR2t/fhHHDO9L6Cef1RkaGHtXPv4CyO++Cu0JOLYsCRUliSxEaX30ZiZYSVvCuxGY+CyeP3IiUDFnQ+7UGfAO1QebNQQX/wQ7eIlpNES6+4Fz21y9L/V4mGopgGSD8Rta5u+FJPAOXpi/WlCfimVUPIF/bCGNQOivd2oRsbSXSA3VLNCW7rQGcIrpYQSkXF1SEuFcfTHgE5iiGZlgsVNS+0PUGtwepAaUtDgqc/LxgJR9Mz6Cz6MgpJOHs0emsZi6Y25bMwbbZgoGZkgEJgjBw+2Lx+47zMKllLzwogau0BI/FZqJs5LG4rGI3Fm7R4kKTcGAh9mSqCyzLUzKQbhO+VP27JeGJy4Zj6dyH8M/k09i6MZXbMLSwCOvz++Pa7lk4O3YdYAeMgbCoMWigoHKo4dw3X2E+bUa3Cy6DEdUxsVj+xn+wI1ctrkrTk1C6aTVAfwE0gRSRIzCGng543z7zr5DnGX7y6YiJl0WJKEZGn3kuXHY7eo8WzgDPHp6DmhYnerTGYfOHQvokLmDIp4ycVJi6YUyPVFTu2oZMuzqPnl8v//hkN9tQnJ6E0WdfhOEnnR5WyFL9jBKvIxe62AqckHUJbvkkNA346mUj8apiRtakPsL7RDVTL5w4EEkZo9Don4BTvjkFHlN3aHVJ0Br9+K3HTAwvOxN/auNxbr0caSB8AT8Ut0EneuYxelXFo2//kbjp/9n7D/C4ynP7A/1N7+q9y5Yt9967jY0NppreQm8hlEACIQmdQOiEDqH3DsZgbDDuvclNLuq9a6TR9H6fvfdIe0YS5Nx7/8k5zzms5zHYMyoze/b+9vred71rXfoQerWe4GlBMXguFA5z8RFZ4/FhQzUhlXDjzWJE+3SSlbHvSRMpwwsQQhMFL40tX2xhkXcRP2T/EENgDh48yJYtWzjvvPPYvWcPX0+YJ54XRq8bZTiMQ29k55jpvN3vuAnI7WoTRbwCtIGB7TbByKwX+og+rCI9l1bdWPQ9cnXt9umPcHez3P4dVV2OIhTCo9dTkZZLwOnj1lVFKMfOwpkpuVJHwxAQCEw9bsrZUzxQCP1x3Q5+e3Iq+g0qrps3pC8MU0D/Cozn2DEx66s/fRZu/D3xQ2KSlAdDtAmjgLMmZA8IZDU5A6ga9oFCBb8/AnFytU0QOL+0rpJur1Td+A2fM1XT2FetjEZpIJNR6lY6wwlUh+V2jDBkWDZzphAONeB7zI7YDLDRpW+QYOs14RPsuWPbRZ5mNyl/fp4RR26k4mgF7YdWMGGmi88OyG7DK4404zt+HHtqA35/F9nZF/4sgRGM+M6akIFSqRavJaHaed4kE4cO3UBJjxm3NlKx83lpVORyyUctWHvK0RJgoVZydI5Gpr2dGTmLWZVgpMNhEw3/xjIwtLI/NAaFWL3tbO2mtraWceNiNx7/Kfxagfk/jA+bOsXi6rxEM9mREeEKZ2x99S9fDS6MFJCb9MsEplfEa42IeA8fvomSrX/j8JeDa21S9NKO8tbAtdw35DS+nSaZaH3c3kWDUdoB7sgZITroCrDrDHw1YS4bRsRa+bdZ5KmIFTPyOOtYDedm38gJk7T4juqswuD3MavyCJcsmIs5SbrZzyqUFoslRQN3iXZrB2/fLqcMJ0SEvHaThWMR8mKzJLB/zAyOFY3DYYwt/c5YcQE6rbYvNFBA4/FSGo7Jx/d3b33KRQ89ycLLJafQ/lBrNMy58LI+Ua3Qirl23hAmjJDHUQ0RS3zR8j+CA/HjsGkGLko6f4C8KN1TfMRr4qh18Omfj3fXIfhyGSwNaJIkwhTyZog6kBSfPMHSi29+N1us0GUM4lRcc7iDzx7dy/evHum7GerVUoXJlVxJZUoJjQsqSPJWYOjX+w9rtaLG5Vim7CnSiyyrAbPWLJrLCeRFwBetXZQ65J9xzBUEtfS+Q5Gx7rxiyYStPwQC89577+Hz+FCFVZykPkkU9bp8AV7bVMEHX66io6ODx17/hC/K6+iInHsCeYl3S5qq4z9TOUxzypsH1b/w0+j1ghFgT1ga3SmiQye3cc/esAZtIEBqt0QsfGbp2ActGpxZA8mLgLBa2kxUZcbjFkZ3+4nu363cwk2bLuWfl0/sI6C5G05w69dBXDYr3qoq2v7xDzrfepvWv0kaqP6wOOq57rn5/9KRWxMVg3HnsmIm58tkUa02MX7c64z3RaIORiwXyUv7Sy/R+frr4obgqaee6hM4i6+dcwclL5XBJFpD0md/ggI+D8vxCZrNKweQl7IEieAY3dIm69Qbx7JQt5G09v149WFC4vuK+lQivkGeE2XUXHIpnm0HSB7xA5PUt1FTLRFys9PB2XVxJBVdSvOLn3D4yG85fuIvdNvkjYDDKUdzCMjKPoLTJRGmjHg9K387hjz/eTR2bGKN6cw+s0PxfAmHaVerRQ3OxXq5AlSaWUDlZMlMcorSy5jhfyLVIn1fe1TqtYCwz0fPmrWEojZdVUK4qFElRhB41AY0mv+6Sen/a/xagfk/CkGw2zvbf25GEp80W2n0+qnx+Oi1Vmvr8YhizP4Q3Gsz4/Xo+41B9kfvZJLN7Rc9CWw9JTTvlqcyopGik8Rgsz3/oBGpVPxaIIcRWTk8MELuOdd6/fQW+3cMHUNrvHyjPrNqAyuHLMRqksjO/lA2b7gHpu9OctdygqiqjbCDa9xHbpwCodBdYFENGO+uizgD9yLBYactOQ2nQSYqX55yGR2R6Sat18Mtbz3c126etPwsyg6UILwaWzAkTqlk7N1H7/K88Irr0BmNpBUVcaTjCONSxw1qBjcYzIlyi6a3cmOKeizB7cJbUkaW006bxUhArUIVDHHS0dhJn/hI6vH+wEBR8IH6bp5fLy2cYcsWlKFIFcQ2iVtH3cZ5r8TmNd1/+iiK4ozs+qaKeXo9R1LjmT9DOuaCO+mmjyQNQ+OJLl6/eRs3hKQAyBNZGg5mu0Vx6ZlFS9j6uVTa35uVQpG7G6MiGX9ykDXxaziXZXycN4ukrjZO3iLpFKwN9X3RFdu7HFS5vfzhRKxDqk9hQif4vguakoiKxpRmEu5k0jHU6/vafL2TVr0YqZImRR7+9igf7q4nQzmU0aoW1vmL8M6SKwET6svpNMXROEi3aVLtCTEXa8V339IZ1rJ31FiGtjeKVZPJZWU0xMXTkpUZMyHlI7bSEVIloQpa8WuH8lSNdB3f+Pl7nLNBmgjL6GinLSlFMlu0+QkUDiTl2rAfn0KDw5SHPfEKSnIlt+XMTjdt+6yERoYIpGbh1w4jrNCwq3kXc7LniFM5qc99Jl6lnvXV1D17DYHm2EygXrQnjyO18xCZFgeaftWVwRBtxdDr6h2NlLhpcCKiHZl6Na1PPIH1jTfFfzYbTbgjN9p/hROBNAKR/bsDM17B0EVAOEx4/dcDvv7xKZfw+rrHxPgFRciP/3crcLrcNBQXc3DiBEYeO8G4g5E1Qq3DvOQhHKvvIOxy4a+tFcymRbjNOvZE9GDjj1aRPFbyTFLFCZUvSefV2rqKhPjJtLR8g61baJUtER+fMqsEg9qGy1WFxTyCYNDN5i1TRNr0FH/CobSg1kbcoUOCn0uAcLyGcYo6iNLaluaPYt2EPF7btxN7j0RWewlMdPaYgPbnnuPgyu8wHDxC5s03sbXLwV1CEv3YLBA7zAkYfAoGzk/9Z/Argfk/iEN2FxcclMuJU+JM7Op2sK1bGqnuxdNRpf9e/HX5SK6ZK4/K/lcITI/HT33Du/idauxNsSXRXlxccICfwhP7yIsAg9LDlffIacYiNEqCOUY+KTxFnO6JxpT2oyKB6RIIjN7O3mFjB+j/C9wNnJ0fYp1pCmPHRjQeZol06CLqPq9LnkYq27F1AHlxFo5CGzFec0UIzLGhY/vIiwCfTk9HYhqpXW3kjByDwWwhMTWN2h4Pu3KHc6TdBvnjuU39NfPOOo/xS04Vb5Z/3fZXvqv6Tpxw+f3k3/+XjrPBIusTLMmpsaQmHOaPuz8j3idVfRw6DXsmjWLGvoGmYCafn48zz8Fj09Pm8bGhxcb5+Sli0vVZL8pBhipjNSFf5HMKGQaQFwGXzSxg9QsH+2zjBQp6yU0Sed36WTkOq3yehSN267Wpaj6dK9xo51Pk7iK8fjvpPsmrpzLZSGEoC29Iyx6tNPmlnHgJ9Z1Qn1XIxNLdpFpbcXZ3iV4yXpOFFQfkfB0BZ6Yl8FNbIw5MmDSJIpl0R9pFQWH0IoLi4mKxr19TM1ALJWQY1XU6eb+0mcDkZJqqtLR1m/CeLJOX8d2tjGqq5mDu4DERFyg8zKqtItDRwR3vvsb6hQtZptcT2LGDUHc3QlPp83PPIahWE1AEWJuzFrtFqDLO6fsZQdN0NPoJdOtlcei8kt3sSRvB8K56kiItqbBOSVijJJQ2UKu2zJzIN04HZfnCpJQ0LaVVKHjnlEn89avNlPI5PdyK3zCG7tS7ONR2WCQwtiiLgJPWtvWLT4xFTf5SkcAoyo/QcOttZD/7zC9WYYammjHiIUkxiK2DoCF7ehSC45yjKxProx/g3CLrbHat+xHyBq+keUMKdMowjQED+4KFWMMm0VtFgPB/hRigqSO7aQu0x7ZZ6yxpGAoLCKh0qINeDB4rLWHYsPxUwpFgxmMjixl9+JBYSTMtfhiF1ozCkEg4MqWlbpQ8qLbpZe1LrlEWgisxoghoCat99PQcEteC0qO/R6GU18P8zCLa2o9w5MjNGKcW0tr2nfj4N6zgiEKqXgqRKH6FCk04KFZhHENNTNgq63Z6xkxiz5LJaHrb2R4PXXv2MGfdFyia3JjVVThNVkwzphPo7KRk1WoufzDiCbUrtpXbi5zy4zB+oNXCfwK/Epj/Q2jz+rn0cBWH7LG7lEKDlrxIPk9DZCJJyN74eI+0c73v9FFiLs36Y21cPH3wBWIwCMm0Ajz+IHWNq+g8liDmtpsyXOQFuzjWLu3I0w0ONMoQNULbI1LwyVdaqVgUO5GCMFqpURIYnchgAe4LPDtRhm4Ux1dfmS4r/KPxqvoY+jOe5DRD1NY4QmBUVqm/7RF8H4T10uNhz0ex1v2uvOGE9EZUkZ25R2/Aborj2yVSXEA0mjLyGJsUz5Lrbhb//ePQ8ewMqmhMlEWerinzmHXexdJrO/iqSF4EvHnkTW6ZeAsq5b/etQoTSde+8KYoCBaqONEVmDS7q4+8iG/V62dhh1Mw8+l77LviMSwrO4IqLOh01KIT6sIfD9NpVrG/3c7BbbF9f4W6B2V48NclJAUXpJhorbLJmTdRbaOc4iQOb4j9eQICSnh3kUzEFIYZVGyVxc0KRQrakBKH2kFF+gz88ct4MUo/WpU3TCQwAqzNjdzlG3jDvq/AzJq6atCPwaJKFQmMS6OixdBCcXIxs2fP5qeSnwgVhWgubSZIEFW/ibVud4B5T2zEPyOVcLwWX5KOUGXszfZ8lV/0cTV75bbVw8Oy2dHt4JSUeFbMHkXFIjmGYdGGDfRXXU3cX0L58GF8NWIHfpUfZSjWb8OWcDHRqhqT20W6tYN/zFqBa0gxUxaMZGObjbBOJRJ+VApU7kYstlexpd3F4yOLaRUqAf18jIwqJaPTLMybUsbxE7LRY0BfzFbrl9wYDNL1oeQn9HPojo/n2IJlGKu0uA3yuW5fuxbXrl2iCeLP4fwpOczaegX5jgNQPwZSiuC1hZA9GcacA55uBEuc+rUCCdpKUKlk/aJFWFPkSuziHevYPm4mrij9yJ3Z+2nVFVDIEYqPjyGbdn6n/ooyxot5Yeeof8LgnEVxuZQzpkoeTs4/n+O9Pz/M27lzuGl2Ib6PklA7mtF6bRwZO6aPvPS974QE8kbOQZNuJmgDpSmVYITAGA6oOL6wmFDULddUIOeLKVCitxfgTizDbj+G1SoRM4ulE73eR3JyIa0a2MlsNPio3XMTiSoFejR8qpBbg5bGbrwhFRpFEL3fL04Z9WJL0Th+M3MWJsEsT6USzR+FitWJW25lSFcX4rb0+A/Uff4SQ1av5uiKc7j8Gam69UuIi4rV+E/jVwLzfwjP1bUOIC+ls8eIO6L0SCBhuy8gsv+7vpCyOQQIUwATchO4ZPpAm/3+8DU0EmhrwzhpIhadmkSli1M1x/h245kUlEl92HSjjaw1PlritcydUUqBto12bxwFo/8CTU1iz7YovYcTUTdv7a42AnlmQpmD626UrW6GhutJ9nXQro8d1byr+nU6c+fRkjGVMWP+0BdG2ItAUC9eCMpqQY9STM/hQzi2buPwHb+nvSD2ZwUj/h2KiBuvR2egZLQ0WdMfLanZXHKTZOW9z+bki7iBZmg9w8eI/9/SsIUXDsROI1XbqilKHHwX3x9xqbGvU6j4zD77AswPxhp7iSiXKxNPTbyAzTnjmNTwJBnOLvJzNDSrdCJ5EfBeVzeaNntfK8w45ClyLTm8s/R9pj0sO5sKeOvKqSwsTsPnCfDP2zYPPB5VPdja5PMvLkVPT4d0ky/Ni50+abXLupm98RPJcmeDupntBSm4EgYKjMMzFpLYWkVXcxNft3axPhy7qF6elcy3lV+i8PeIBMYYJ5DWMB6Flq1puzjw7VKGphhpLtjNd/slEpmVlsXMtpmixXt8fLzoF7Kqq4BglkEkLyKUCgLDZH1RXmMX40dkUL8fTF75vebptVwzRhpPtn3zDcGOwa3de5HcWoU9XE3XROlzUIR+2W/j1UfuFj+jcfMm8eAV83leaA+32QhGtY50bSfQKKpJabiBy046zBpFF7TEvo7uQBB3wM3nZZ+Lba5olHn0osZFmMpRmM2EHYObmG1aMB+PATRFJhK6Yq/XuiuuFIM/heyswaBu2keBPaIB2fQYVPwo/b2rGirXYy0z0V0l/8za/PwY8iIgsc7KKQ3fs332LJqzpMpYfPMmEu/+AHRmtjbUk/O6dN09yTCxhTQ5fAr2Brl1pIzP4fgJD4+OOEvMdDt7YjbHBW8lh6BdKaV8xMBxcFvxTNLuvpNgTy3N97yJwiC3cdviMqiokrVKp3kmolBJ55Aj+RDmznFonZl4k2sJhbxUVErXbW7uxYya+Se+7bBxQ00jDoXcTtcEvVyK5FMk4Ny4Fk6U6PGG1WIApC7gY2yjVGnfVTiK0uwh5Bu0MSPaAoHxaDUDZLv1N97Ausk/72wd85kZB6+q/yfwq4j3/whcwRCft8TWLY7MHkNy5Ebcm+/T6vWzvbKzz0hKcEwd02+EUhB2tTzyCN1ffT3g8drfXEbNpRfRuPtNrNZWztSWolGESFapcOUOw5OeS853Pu6ZfD17Zo1hmL5FrL6YCsZTMEa6WU+1NPLdONlwbknpbpTdfhSugUxf2elBs78TzZEutlkWYlXFiu8m9hzl92kaHl5yPq+PLUTVj7wIZK31H6+LfzfopO8V/lt/zTVUJUgLZSDSJgoJnh1KFWqlEk1kKsRhiuPgKGlRiVcquNfRhi7yKxRjJvX9ntcaZEOtaDREBJ6P7HtVdFINK+S22OEOedLqvwLhvQgOruWbNtHz44+kffAZqsjo9mA4etI5rMufik+lo8GUxrMXXcWWaSPwT5ZFpyGNEu+iLFQWH8bCZ1Dp2vnD1D+QZo69aQgQyIuAEztjS/C9aKm0cWSTNMq65OpRnHyNdBMRalm7hkuExRQRtvZYEuiKS2Jd6kJ2JM0QNTGCCVxV9kDyIqBObyF39Di8Gh1/Cw/Ue9yWn8LHxz9GFZTKNqYMqerm9mhxnHiQli4tu1o30h4RaQpoMjWJLZyioiKuueYauoy5dKjM+MfGZir1Qn3CRlqHFMg3depUzl98Ukz8hL+tjbqrrqLpzrvEx1zZg8cTuLVw51UqHrlQJvDKf0FgsjukasmyOVLVMi1yPUdjMUpSVCGUQn55OExR3CBtpWQT31Z9S4+vhxxjbESA2ppEV8TdWtPvtWc/+yzxZ5+Ne/lyPJGICb+ui/AgJm71113fJwrtg1DR7K6HnS/Jj/WSlwg6mgI0lyTg7dbQY7HwzRmns6dfGGqczSYKqNXBIOooWwAhsV3QuQnI2XGv+H9H4DR0IWlT4Q31kNEqxY50p+VSNnYSuw/sF9tLF0zJJbDmO/SdkmbMYekcsAkSEDpzLvqiZDRpaYQcbSg00nGwxcWxaaFcbRkVyCED6RwKqdz4TdL1klw1RfRsEX+H45j4/6zMc7j+eD33VbXg6Jf55VfoeEshCf4F19wXJi9DrVLhi1RHBUfnVIeNgFLJ0UwpnHKEyTDAY8YdMb2Mhq+2ji8WDX6tpfXIVZ0hrQ2MH//zFbV/N34lMP9H8HmLVdxdRUO3eSPdX39Nzw8/YIisM0Jw15tbpZHTy2fm897V01FHTQYI6P7yS7refY/mu+8W+/i9sK5di6+5BfvpQY47/sZ3q2VvBQFBczz+pHR+LJ7D4ZShXKFe2/eccdYVDEszc/rYeDbNki+IOeUHGdoh9ZUU/RKnBfx5fD55fgWKQJhtU5cPGGN87ej9MOzknz0u3Z98iq9dujkYDVIh36XTsEUIMUuQLnBvRh6OoWMIp+VTfOw4ScnJ6CIag2PDxuPRGykwaDk6bxy/Pf1kvp4k6Qma1RIZWdXWzcq2WDHx1MOSm+/hsJpXKvZRYrmVztx/0p3zPMuGXS4+V2UbPJvp57By5Uq2fPklgetvoPHmW/CWy1M6T088PzIpASfyCvnnpddye4I8ebF6wUl8M08SCw6ASoFvjBuVvpVH5jzCotxFA77k6fPH9+lZDq6XWo+Cu+mpvx1HdrF0I2yvs4s5R6Z4LUMnpRGfaujTvrQmqlEGfVz56fPE2SWi/frFt1O5cDIaAgxVt7Nu1MDk7vuHZvVZAOiTU1m96Jy+55YmW7ggqYfrMxR8X/GRSE60Qj6NcC7FSSRHcqJVgtKDITvWT0RAt7abVSoTF+yv4MPmeII5P7/bVNU4aHYExDyb5cuXE58mk+ndlWu5/KWF1B+SIwK4ZuC0WVUGfDFLSbdZvkHesjLIkr0/b9m+ZJfku3MsMZ/8SKBqb0U1Go9dcA0dQaG+GcLpd5Kpl0mOybERY/en/D5LyQdHJTHpJSOk1mYvFApZ5xO/TLIk6EXcsqVkPfoIFf0IhSJj8InDR1+6WBzBvnfbvXxR9jl8eR08OwZKvxz064/7C3kh4SpKImnNByeMxx1pl0Zj8Y+yL1FOg9Sq1Hk8BNxKaNgDNVvF3xEOq+kO3IAhHJkMbN+PKuTHZc5hw8J57DbU06I4wRm6Ui4Zl0LTXX8Sk6eEKa3qIVIlbeK+/RidTpI6JVK870AJq1atYtORIxzJNODRqHEZDKw59ZSY1zgpIGsIm8e8gc8okU9VlxljhMD0oipcyN6eXw5jNSgVXJIlbSiELClvpLEypklaxzuyC9gwZzw/TBlORmTa1LV3L+paiZAJ4/bRsFri+WHGPGqyctEE/Fy+fbVIhgQkOnu4es0XvPLMfVy38Ssu3GTD744Vuv8n8WsL6X8xOl77Jz2rVmF/9nnurJNuCsLI9OYuB2c019Lw4J/6jOBuv+jvMDcXayDIuhNt4ujhFbMHBhUKOzfre+/3/du+fj2J559PZUcXyxSJTPjtrdww+nFaWoZSHeWGG409w8dzNauZrpREYQ8rruevY87BEQjyWVbs+HFyq5UffcOYkqZjl0cmMH/MTWNcgonFyXEcyGygsdvJ901foEi6vu9rLm7+liRfG/7Egj7H1mgI458t99+P2ijtWIx6+YZjjwQ4BvUmUfMye8tWchobUSUkUJJyNrqOWN3DNTmpfdWdIZEybZsvQLPXx7WlA8Wg07qbEaSvtkCQ++tVkqeF+FkYOGKbTlHHYWp7YqeEfgmbNm3i2M6dnLVKMvg6WljEA9fcSntCEiMPHqOqLYGHLp9B5+/v4Lbb78Wj06OqtqMp62HpnFxWmgZWAxTeAOHIjTCkj+OsorM4fejpA75u6eh0VkySxkxrj3SKbSKBvFz+6Cy0ejU5IxJ57RbZ5n/MghxUKiUqk5LkHDOfD5WO24iGCgxeN4m2TnoskkapJymB5WlHWD1cDrXUh7rwqxIRQnMvyEzi8ZoWscJYnphGRaKsbfLU/YX1nbFi5Wy7ga406AyGRJG5MCEnwJAlaR/640DuUCpMKWBzoCo0E8wy9pnQab0BSvOka2R62WH2p2TS0e3jUEs5G5u+55+H/4kh4UKmZJ3EC4fuQ1Go5PnTIdsKy/aGuLFER6/H648npXHU2MGBIUqc/e7LWdYws4/20Ji3h46ERI4XSJXKU7ZtICM1C21SMTcsugOrPo79kWmSwSowCXoTGqUGf8gvVliyolxe41QQsK5iZbmeSlslRrWRs4edzZ1tsti/MTVDJMFChSPpqqvY9N2rjKrwEk6Tbp5d3V2UHi0VM3I8Sg/6kJ4fkt5mIN2FcOkJLv7uYhodjTgPfsA5bVGtrMRCqWUkXH8osI28jFUH9WLVo2L4MAxuN039KkAan4+E7m40Abnqkltfj3LrVhKtXTjH64hvKoH1D4nkpdErfd56gSwngLNHep/ls+fhi0QqCDAq/ITXfC1WCTcuXEB7WlpfpWdYeTnDy8tpT0lhfaTatm9fpP01opBqbwj3mFjycoF3lqhbEVAz4z68cbWY2iMGlWE9eoM8pSnEALzWONDpuD/mJlpIjHh3CVNcvRWYXlQp9GRWV2AYLYmG3UdKqb30MpRCmvzIEbgjFTPhWH84aRlvXiubbxa31ImWE6cckdvFOa3NDC8ro8s0EVd8Jh7Hf58G5tcKzP8yhHw+kWQE2ttpf/ppaju7WBohLwIWukO8d+/vufFRqYwqYHP2BBpdSiEsRHpAq2RcTgKFKbG7Tev7H1C5dBm+SnlRcx+UDLUe/XoNdpOZLWOmc9A6nfIyaXfvU6nZlj2U5ji57D5S1cw9GokEtWiTOZizQryRP7g5Njlau6WVtc7hNIYS2NvmRRFFYCYkmlmSEi/qdwqSTajMZVh9DWgDcuLy8oYXmJWfw80HnhkwDiug40WpXB30SJeBITKCGI2gQF7Ky0XyIiD5+utITEzsq8AIsKiUXJghv794jZq4SHbME9VyO0Xv2M2Kbd9x3t71aFyDyZAlNLsMLC6/nPbm/5rDZXt7Oxs2bGDGjp19Dqw33fmQNEYrlI8njiaYrOP3eh033vWwSF7E91ZoQZWpY6V+4Ohpoq2bOKv8+4OaDKakz4Jdr8Het6BsLR9fN4NTx2bwwBlSK0jQvnz3kqSdGjU7UyQvAoTxWaHq0othU+RprcRrh3MsQ1rQJ9RKFSOBwESjNDtHmiwTEA4w2fU6+2eO5oGiLN5v6iQ+UiFcpZY7+RfH1XC0H3kRkBthB20+f9/oqELbjtoilewF/HX6X/EaJtOR/TIV2QvlYzA0DoRcIL+P+SdKyLHJn61XGxJbb/6xidz0w19F8iK+pyMfMebtG/s0RKUFSn6YpOSx81QEdd1sGa0Qb47f6KezdbRqAHkRsKFgqPj9D736NC88Ll+3wtj1zKJiFBnZ1MZlYtea+nxUUiOt4V48VZwrXitxWuk4CgQmGplq6d+flX0m/n9ezjwsWgtPj8glzyedHz6tluahhQzftROlTsfKC3L5frIC+2O/JxgM8vyLz4vkpU3fRoNZqn4IkQyvnzzwNjOkBdrsDQz3+Xgw4qzcB2HCL0Lo1zKf544l49TKa9Hh8QNN066fNZbT/U2o02VtinDMchoaMblcuDs0hI99i9V3G41eofWtI9hdh6bxSF8bpSM5meOJA6u8Fas+ozkrs4+8CCh2VKA2SVU8889ogew6JYEoj5TlR7rQR+wiBPj1EmkbXvBH6QGlMSYuIW3E63zTFrtOZIXrmRLeRWZUSGW2Xr62BM+lYEiu3jUkpGLTG2n+093iv4WqbM2554p/N3ikz9VjkNaDrrj4GPIiQBjv74/s+jr8ajiRq8WnsaHW/etBg38XfiUw/4vg2rOHE5OnsPuxx3jmpZcoHTaci/72fMzX/P2bcow9TvR+qV3iUWl5ZdyZ0gLrk9ovwuSCqZ9ng6+hgdaHH8blr8F6rZ/GmcPF3q6n9Ci1m7fyQ67kKCpgS7e06/ArVbw55zQOF41l5cR5hCLLeLxSEm7W6jOZMe1jtgzRU7z1CO8p5UXqlZxklP00L9EExhTV1hIMnbRJkmj0ylQfyY7dxLc9zm3pqeKOcVvzjgF6EvfRo/R8J4k1wyEFwaAWtWIQMzEF5Edu+ALaHnscdVVVDIEZbzFiVscer15N0YfN0g5qqLIJU/fbZHW2kOzswR/8+YTutgQVQuKBqTZrUOLVH4LuJb67m4zWVppS0rj8/qcGfI1/SgobwkmU5ceOwDvHpYBKupFntbXw1gN/YG7JLh5//lFSItNY0nFQk9jSCN//Eb69DT48nxnBEl66ZDKpJi1HNjfy3Yuy8Hvo5FiRozYq0dicEPGc8AW4/KhcnUpwS4t7nD223VYbNZ6eUH6MGU0TqO62cV9FE3+raqY5MlG1UxhlEsbpT+zli6Z6OrP+QVAVq9WZWyDtQq3+ICaRYAUx5r7d97y74RLmZp5JT+pthFWx1cBeCOJcdThEYsSoTsCBgvGSh0hygDa3XmxNeeNupaL4aX4aOfCm2JqowFz0JM+foeKWc6fTkNeKoteLRCDFPQb8trH4OufwecaNuCLtyN7pNwFHh09g4ezRXDW7EK1Kyenj5RZPcpSb9p8KM7g4UyLYcboIgfFKhGXTtBG8MDKPUdrYVs+wRMnc7qJkC+/95Rbx3BCw98YzUEXMEhUpSbx1sorudDP/eO4fhCK6uTZDG3aN9PPMfjM/TFZy7S0qGqI+ikxrmPs6rHzR2IKp/zkuZBsZk+kggd1ILaOfR5jFC+eTctpF5P3za3Jfew39mDGiUDgaXpsGW+BqXKHF0neFArh3PIc+4vcjVHZ292t/9aIyeyhb+omO03VOwiqJwPT+jF/ConU/YXaW4Y6XN38hjZNpHaOwDJHOSYXOgsova+De71ARCMOsBDPfTRrGLXlprJ82mleKLfyd2/u+Tq0QDCW9OHfu4s/jzUxwyKSjMSGF835aLQqvhbDY6nPP63uu93ULLaQeo4nzHnt5wOtOcDmYEZWMbuxu5Q9XeLj5BhWmns9Z6FhFqufno1f+3fiVwPwvgRA61njnXbQkJ/G9x4MzHObZS66J+Rrt5hYhy41tWZL/iVep5prFd4o7NwEKX693hAqTz0X5goV0ffKpKLirXLyEQFqY9nsClCWPZmv+RLG36ywv56k1G8XdWS9aI9WWgxmx/dzWOKm878aACz3P514qEqj+uK7hGOnKgcIyhdAziKDIKJMKv7oetalKCBnh2tHnsazrbbSeWMJyyepL+Oi4NP7praqmZoWslRCgTM4ZTJfHvN0HCG6XfEd6EfjiC1Hh34u4fuRFQG+vWUCiOoyt5i8oQ/a+OIHAIM6rWZ3SjTikVNBpUZHcky1qFX4Jdrud/YcOk1dVjV+l4vUzB45z/1fx2qN/pqClkQdfe5aixjqWr1uHwiETNWt57NQRB6Qq2t7va9j04QmaymXikZobK6QVXIN7oRK8fMJhzi6RNTpD2hsJq6SbrsURW3kKqw2itslU+RXGGh3OZicPHxzoUdR7duwtnoLXPJeQOglX3PKYr1k+Yy6ayAcd1IAh/zWUWqkCoOu6mIB9LO/UxoqQFfZYYfiYpipsGhsuRTlTKn5EH6lQGOyrSWn8LWFdCE/CrfQkTKFHX06XJUy8I0xcpNLXH63D9qFJkENSBTQ13Y2n6RK8baexVLmHqpk5ONU6Hp98EQl+6fc95PtEnPTLSzay957F/OOCCfLxjjqZBXLd670SL4Q6RlVgik160cgyxRhL9M5JWEjz/fdTfc45hBwOUmwSma1IlK/L3mrOnpI99Njkik6roVUcdxd/t18igTaTgvsuVfH8adIxSLOFOd0mn9s7IzYOAnHhzBfxnvkqL3Alv4T7eIa79R8wa64cxKkvLqbw88/EKafk62SNkbdHiyMop3V7S78i7O3pq0IIsMdJ76cskMJw3zhSQtI53JoRG2gqwMRw1OnSOqrspyHpj8XNZlI7OvBRRUAXRc4VQsSCF3WyhXA4RKtBxRNNGbSRhhs9HzZLx/SG3FQmx5v489AsEsxDyMm+mNHF98mvRaWi5b77qbviChznncWYqkMxzsynbN9IyOnE9sknYshk37FySwSmPiuHM5+SBhn6QwgRza+VfWSUwTDnzLgaixvO3ehGt2MH/pbBRfv/CfxKYP6XoOlPd+NvbmbrnDlUJ2fy2tzTxdyUXmi3t6KMiGCPJhXgU6q4ecHv6TQkoNTXo9S2olFLZfRUk4/L17xCoKWFlvvu48TESQRUKvadPZry8unU1si7ok9PPo1Pl5wm/n14pUQarMY4lJ2tHM2O3e13x5kwRSwhj2kK+Sgjtj/ci79cdD6vbR5cwHpOF+KkjDDV0Yu9XV+J/9d5J5NhyiC/+IxBv/eRXY/gcvdQFUn47YXgeaDQDlyEUjCSFLHXj4Zw4euirMbVkaC9wSowArydXyMlhwhlf+kz6K1G9eKkAy6uXtdDTof0cwUCk+rIo80te3EIEG7837Z10xWZsNi6ezcfjZ/LTb9/gJNfeJ8NU2RhrrFbNhzrj+x+ybem2i5MkcX8WIpU8RjdXIFuWxvqRmnRXeteQlhINO5F0wH83iB7v4vdgY2r+xiFL/a4qYRtYhSu2vU15RHnX2UoxOyKwzh10r8tURb7vVCE7Gh8J+gKG+jWmdgnkJr/AjJSTmaafho5jhzOUJzBPuc+TArp91h1JaiNss6oxy3kPMPrQqUp+nd7YyuBQ1sq2JS5iR3pO6jVvova/iF6+4+YuyURsE5xAIdFqsgYe6Qq3yl7Q+iiKoj/EhFx6QJlCa9qn+G87C2UnZnPpMJKtuy9mM8P3sbiqk/6Jmvi9JoYkijg9/npjDEbuCCqvdlXgenXQkpQSOfrrKMh3ltdSNvJZ9D98Sd4IyP3cQrpvGyJbHLE9yk4zvrMBA7Lx6ciroK3znuLmYXSCK4+GEliD4U5d2uIQlcAvyaMIqxgjXUO37CY9cxkZ3gqmxWjqE2eB+mjWF06sH2aEZavhWv4SLyCdFevRtnPj6UXabf/nuE7pepB0KMg7JfOyaCtHn+lNOGk88Q6zwq4aHIBYZ+RGf7YvDZB/pzR3ExmUxOG4Ay0xaeRcMm1FH72aez3X3QReQnyBJdFJZFGZbcCa+FqfKZWfGNKmLq/G9xdKITPLeDk3rF6Pgmm8oLyL/xD+zQ9wRBDDTpR59cfAom5vzCNMUY1lysD2L6WJ0K1PnlzldvSjH6otA63/eO5mJ/RS96+HSevGQJOP7iVwvYmzrA2sChiZTFhf4kohh7Z2sVNyWfz5BvyuXw065djMP6d+JXA/C+A+/BhUazbnJlJVVo2a8dMJxQ58VJcDnQ/NaG0B0h2S4tCeeE4/njZU9THpYuZNqbCFzENfQZlSLpRFXCY5PLYCsahGaOpsY2lpVmasBEQVCj45xly8NiYaokAdZssvLTielxGM+qAn5Q2SZfiSVZTlZkpft8D+X8kOIhJ2xtjCqhqd7LhRLsoJH4lu4t0p5UxyiZmz/2EWSOOMcykxx/089z+53hox0Psbv9J/F5X+2yx5ZIdKX8LOG+4XDIVsPGZO2P+nXDhhejEqYJ+5ZdwmGkHBx9jFkSE0S0kb0XlL1ZgVH5phzI9YzrGiHDSaQKNRxIxJ/UEmXVCWlxTnNJi0GlRYgiYaY6Mx/bipbo2rimt4aajtZSWV3BdMA5bVPq2AKXLgX7DATicgmnv9wNe2wqLBY2iX9++Qr5h1EUqaLluq2hul2aXPqdqXT5HG2ZTtymJhm2JNP9oZf/L38mHTDgXNQpczgpG7zjGY1Wyvbw5USaItT2N/OBIjlkwTT4PyTMl19GEQZKZw6p4vKmTCKNkb+5wwgoF6tAgbq39UOMNk1o+hOnt08kqyOKuLXfhcEs7yg793pivDREglKLDKeTYBELoe9aKeoyF9bLbq4Cq+ArRXK4XBudGLF3vxnyN2leHxnMYtb9eHI2ff1iN/V9wrqA7F1/XNNwNF4s5QE9M7OBt7ROUG/JYPOl1lDl6blZ/TarPypzuEumMrYuaauqHu4Zksm5qMZaoCmFv1cRh68Bz4gRls2ZzbMRIpt79ISm2MLetDKE7ODBjKiGih+v0S3Uu4Trb22pnUbO8GTiSeIQ7LrlD9C7664K/9iV7q4NKnn0tyCn7wpy2XolCF6IxO5vdqVPZz1g2M4Nu71TWh5fyVn2BGI4phGT2YlRpKdkdjZyp+EF+H9jhxu2QKq9Hg0EQ3Ssj10eg/RiKintxbXio73ldVEWiF1PfvplJdbuIC8uCJJPCzz1338X8TZuZt3kLKmM2nxf5+dOZZ+EpKGTCBKn6df7554tOzhMjKegCzGrpXFfZhABSO02LXiJ33Dh0Ak92dxHs7mZjuJy/33sFF679hspwDof90iZCIC/R1bRoXPnNTXz24jKcV8RmXEUTmOTxBSgja06oX2q0sBE7mpFPe6Qy3nstZnd3cFVHLa+dcxpDMqTXrmtr4ZRvvqNy7ElULovdeNoTYx3R/5P4dQrpfzCERULIolAnJpL0m98MeM6+ZRs7hPCuP/1JTCEuHTWKtaP79XF9QXHEWMC55Rt4ddxZNAbUqPzH0aZWoEvZ2PeliqDUt65ISmL31EU0FBo4PC+D+Y7NNB8YyfGMfDFB1+J102GKpz5JtrkeVnOMFI0WRTgkOlv2Yt6+LVxh+pHfpD3KroTxouJ/jLGSsnTJ0Xfx0T3UJaXTFpfIyDhpquiuT6XF65QxmczQe3nmrXu4/lYldMChjhKWDzmFlZUr+4SSvXA5MnB4A2IVRsCZO0Kc9+hHCBTmo/lKvpqlZH/FZvpmq5RKMu+/TzRzUvn9McnGgrutMj6+76IXF4FwWCzFCr1j0VcigqDLJT4e7OlBodeLn1c0gRFaR5PSJvHwnIep0B9n3YaN2E1hRldsQKcpYEqFRF5GzMjAOSueA43tdMWF8GgUPFEfhEQ7wx1gzDKKmg8B66121gvymkGC1PRhjWj1L9r9R01gTqhyE6ezsSjsoqc9QM1EiVS8Miqfx3bKQspOtTDhcYzqwnO53WbgQI9CNEi2G5SUt02luFmqjtlN2ew9Li2OwtFYM8nI3mF6WPG0+JiQtSUIDN9t6uCh5TnYrR70Y+I5fc9hwirpMxLEsJk9VjZlbOLVya/y/aubOHPXfjbMreREgayrEuBOORnFDB8VEUGwqf1FkXja0u4UPjB+DoIA2B8o4YtqqSKlDEpEPaSSdsne9iVoU9eB3ksgL9L6CoUx9KzB3P0RSd65TK86wq4hYzB1fczRhKP8K2h85Yw/+hmVmUL+zQJuvukYru4MtLrdhNChRLpxCloZScYLN4+5l/z4fIozLAxNNsCDUkjpHcV/5IhlGLeNuJsz2jdgDEXddBtiSdi/QrJPy5DmMGNffY1q6zNyta7BxUtRFiz9kTYsH9rBFpLOt4t2r+d46o24Fc2cUiqJ70/En2BIgrTbF4I01WoVgUCQJz9RkRmRU/UYoCZFTWvRz6fn/PSTtCERsHD9etLa2skaO4G4UDvFVIpHy7L4TkiXrfh/DkGHD5QCgenBs/vlSFgIP0tgCuur6TqhRzO0A130imBMwFvnw7T8KSESmlaLgceKzdDZwyv17fzh9NOZO3cuycnSDT89XdZtafWJ+BQKBIndn51PkRXu4sk//ZVAZyrZs3qoW7CQKRE9yvVff8TX80/uG22elzTQ04j2Mrx71lL1krABEp6P9ZjSRFXJUobr8Hwjk8FoaH/8ic3H5GrjKYd3cNba1WwrnsT0q2fjC/p4qPJFbhPOU2WI44l5LPlAPmcE/O4GFU8aB2an/afwK4H5HwqBoNRdfgWu3bvFfxunz0BfLO02hHTQI9u2stId5p3l58L9T4lW4tNqj/VVXvoQ5f2yoOEA701egZsOjPkDe57KoLQrV6iMVA9NFZOeW1XJHFRPQzk5TKc5Hm3Az/JD2/l64tw+ojLn4GbGRNJvBQMpf2QCR8Bp+7ZRNCV2HPhIjnRjSnDaRZV7UUTpfupFV1PV6uDrA5Lvyw3zh6Iq6+ar2cLFLO8q5n4yd+Dxckg7oJZuN8ltPpJ7wlyyUS5tXrQpxPpxCupSpdRYYeJAfdedHDp0iN27d7O8q4vMfsdfnZqCL0Jghv74g5BCSPnsOeJ71EYtfILo3/ruu7T/4zk0ubkM+e7bmBZSklrNP0/+J1qVltYEqRqlDquZUTODVKfMMMYtyqVVI71Pa7yKJ1YIpAnOOVjJnz+1Ur8klb70x1+AJRTss5kfkWGhrs5Fd46BGSe8ZBvVtLZ4mK4Q5Ku1LFwW5qz0Cbxl0dFuiCfVbWNzzngWdjbQkiH58VgiPg8CgemOH4pbl0T5sHPpSImMfwrlae0G9g6L1RUJ6A1SvNzdwJOnZfPbn/bhmyC1NjO7OxjZUsvW9K10GDqobDIQ0jQT1OhoSBuoOxA/l6hpJo33OCmeRByJDQS1EiG2uJ3YI27JGV3ttCSm0mFQU2aQ85qUgs+7qDWKIxQw4+s4Cf+wVNx5kZ2lICrVqgirE1D4OvCoPEyoryCo3UpNaLtYrNOr9HiC/W6HQR2uhMUY7d9h7npfJC8C3OYlBDuHQmsuXv98fBMzSG66Q3oNqgRUQenufuOcGdBaCu+dBD3SNXHCmM/ueHnqZk/8WCb1HOXhwutZ1rmVhR0DtUD94dwVWUMmT2L+o+tY3iCsCb+srYpGxv33UWCOh3Yn9pCG83Z+zxa39OZqUzLp0RvZmfy1eFwOth8UJ5gUPY2YHFZs+njULoHkSu2K1VOVGIzT8CQMNELsj6KyclLb2smeZcVy44MoXlzNRXwjPTnjjX/5/YInUfMju1EYEqBnYHxF/2pFJq3MLNtJUNieeLpFatmLYCCI9aPjKDUWhCnoDwvk83BdZ49Y7eolLwKysrJYWjgHzXEXCqUaVXKy6L6sswU54/0fCIiTVwoat8aj6kervv/9lfz+tr9SPH8ui/oTmJ4mvE8spOqbgW2lvvcUlVzeuq+ah279M22JKSTYbWLcxDWrvyR34njmRJGXiXVl5FtbGVJdzSfJs7lk/SViFpvVIh2DQqtwb4it2l6/6A+0KTaTYhg8bf0/gV8JzP9QOLdv7yMvAqrPPBPteedxwOOmw2ajtKiYT6PyVJwGIxtGSDu2i77/moMpw6gfU8DkymNU9Ri4f+ebDLvpWvI9ZqrCnw/4fZqghgntQ9mWBFqS2V0wsi/puW+EVaARag1fTZLLowLyolT4gkdENHLqmnGVKuiLuI6CkNgbXRy9451N1IcSUSq8FKd5GZsTT3WFgp8m/nz4W9/vbVrCCGstm/6whtl71zFQTw9ja8LUpSnwarVsPHkJwf37QfjTZ2gWi6xHH6X++htIve1WsaoiHqecHPwNDX0COPF7FQqRvAjw19djX/sDKbNlknX6zivomuQhvVAr7kwFmPxxpDpjk7kT0o1kOqTj15AQ22945ZR4rBaJjAp0LnrJ+/ObL/Dp/CyqM5cyKSOV0S3t9Fqy6S3lnL8rH/NeLwZ/GF+PRC6VYZhZYeCiAqn/nWzWcePCP5DssWEzZXJsrJTfJMDiDvURGKc5mx0zH6IiQ0NQCcVNflyqHl47eyB5iYZgonhNYzNEyIuAoOdbwu37mdHSycc5l/Dorh94tcTLc+dfgdNoIr29hY54L0HtwAgLvbsWhRA5YSuizrUTV4TApDq6sesNWDpfJOw6isr0F8oML8W0UJyRXCFhymim4S9sGfIptrio4Ezh7aoEchERnavd7EndTX2ovu8s6bCcS0CTJRIVdUAi3Iv3qPly+cC09ZAmHT8G1Fon3qkSGelOuQ2VNhulYyumnpUENHnsaW1m6tc39pEXQSf1aGGs2d3O+HH8mDSTd7LPEv9UbT8No6Cr+pnMLNuqb2n6ozSmm/Lb32Ju+GVfEZ8a4lO9eG2JFH6zUrzp6seNY5hV+D4nfv0otvSbuv9+SBNqt1S9requEgmM9+O/oO0xiSer4DPy3kIltblh6lOSWdT0ryNJBK3J5P37iS9wEZfnkTKRoiC0Ejv/+U/Mc+eiHxEbJCi0ZMQK9cYOsZKm1Cfwc+qj6PVqGNUYtV7sGDCkx77JoMdPKKKF+jxXw4f5MoEpdbixB4IxrToBE6ZOpPNYpFqXkgIdHVy0dhWzDscKtgfDM88+TPDNOI4LVV2tVhzSSL7uWpKya6n5fvDpOH26goKNpVTcfEufhcXZ5z/Y93xDeibC0PjuGXOx91pmiCn0dpHAnLwmYiyaKZkBPrPvGdIG/1VctvSvdAjEsOUsUg3/fRWYXzUw/0MgXHD+xsa+sdnOV1/re86n0bBzxnTeUyk5bDJJ5GWqTF5iEAzxpW46Peznkt0/ku1rpFj3DlmuTgzjxqLSdqNJiJgtRfDZ8s84o+4MLJH+dpslkf35xf/l127xyFUEZUC+8MeVHxOnF4SE1sGQ3R1b+kxQeBitCPAXSxUvt2ayZduP3Hf0I/wqL0nOTBaWx/Z6e5Fvz2d8RzNPbX5BJC8/h5ENYZqTFJwoHi6KYaOxA8n236yWdi85aXoMY8cybNtW0aivF4Vff0XRxg1YjEbSI34lgso/Gs9Uvs5j78qjzEaXlMAcCoWjCIy0s8qenIo+XktmUQJVB9rJ6Off0QurRVocExVKMipk1f8Zm35kdMU2DJpWVo8bzarJwxkbRX4CTbWkhCCgq8Cvie2Bq0JqnC1BbO1u8lsD+DQGGiwZXOiInQyzuKTPz61TiuPdJYVaPppvEZOjN4zR89S5kk15NIzuQdxD9fICb7StJLNpHRf+1C5WyqafUPDq+if5fuZ8vlooubyevWkt6oh+qD/OLZFaJ5nuTOZWyjqhgo4Gsmr/hN4ltGocJLVI/hcCRieP5sdzf0TRG4yoTub1i0/DmyH52MgHJjKlFCEwjaZG6s2xQm2ffgR+w1i8Jjkv5qLdToKaWIM1nVYiduEELd6Fco1P79rFhKQ8XPFnYE+6GlvqHZx+tJXartY+8nLdqPtZkyIlUJ/aLtkE7Igfz/u5MlncZhkNtsGrC4Kov5e8COj4mR6RIVmuQihDkDenk6IvX0ebk4NhwgSxnZpvHKSVEYHbkM/ivMV97tHeku1UPbMbg0taC1bOSWDtVD2HslWM7JJbRxNKSli+6lsOGdZic/zIzG3ytJ8g7BaPU6Ye/tIqWfevkFrG4UUPUj5vPu1PPU31WWcT9vvFdTPkchGw26k68yxqLr0d5y7p3FHoYyMRRAiBhv0gOD6rjSGEUc2Mu6UKWWJIuoPnh6SbdLdGwd9HyXqueLVK5Lun7y/n6ZrYc1U/MomkC4tJv30y9RZJyLto389rlga8xJ6evogWgkE6X36F8ntWE/IPfttO+e3N4rSZpSAfr0otWlgMhmjyIuCMg9sI0ENit9RabciR1+Vw8uAlX5G8iF+gxfbLRsH/VvxKYP6HwPr2O1SctBjrG29Q/9ub+qovGffdy6Fx46gtkG4SHaa4nycvwgdq9aEMdxFMXd8nots7zkanRfBJMtKj/QGFIkjQm4o2qCXPnsfRzdIuodcbxitk/gyGfjb90mNy7WLxDz8yqkYeubv/rQcGqWvImFo0hJz0odT4pHbBVKWHV8NJLO2ZjhoV/h9bKTFJF/zo1jkkRcrWvTD5TZxcfzITOidwztENMbqUXghkpRd5bWHRgKl00kBydpgRvMIlTJo8lslJDczJdovGbMFASPx/U3mXeKNXmc1oMjJInjiB0w9t4+8V+5l6TBL7Ckfn2TOVrLI0sfj4AoqafIyp8aIJCkGGNt65exvhiFeJKqwkoPTzQHUDbyudNFd0s+6to3TuiSV1Q1piR3jjun20RH3JhT+uojJLwbOn3cL4XGlRyU/rNX2DKZ2j6cjYisfcSHfywb5smnBCZITymJX379lBSrWbZS4N8zxq4sLysmBw7cBvr0cXyX5qTFbz7TR5W7Z1tCx0TAop0OxuZ1rJfh58VdLBCDC7Bhp9GXtWcs42+Xz665538anVPP6bG/oem3L8KEOq30fjjhVTD2+pw+xXcUb1GajCKgodkguwgE7/1/iVsng45ljmXc/QrWV9yc4ebTHL95XhMctmdb3I7a4hpJYW746I4Vg0gmrpXPxDpjy6bHEGCKrl3WieYQKt7ZJ/SCgldsrt2qGTSRAm3xRaPOYF4si3gE/TpfyZJ/Ov4NtUOT/noiLpnN2ZMAFP1CTYzvjxYlthMHS89houo0FMhxY8m4SrIxw1qWReMJ/MuSEKlsjvTx2SijlKt0SKHJs2UX/jb0nqij0G4+vLWd4uGQUGNNnkxUkVsOqOE1RddHWf2F1AemgkJzecTLorXSScAtk46cd1DD9RhtnpZFhdD9d9ayWvXiaJwQjB0Fz6Emgix27c+XBHGdbKOIJiRUiCc/ceGm78LScmTaZ86jSC9iD6sVf1PR9olczqojFk5dfkvy8lzY85fJg0XYApHEJtCAolVVSRG/cy33im+YuY6R9Op1bB4kXyuS9460yKk87/404Pj1e3cNAu3c3r3F6eqGnh/WT4Muhhvy7WFPSDpWf2/V3wqto/Yz6aoT8T5RGNqM/ekiMdX69Gw4/T5qBcca30GeZk4+83+v9zEDRogoA+rAiL3i5/uUxFe4L8OybkyuGRAoQ28+ujY4nR7up/7Rb878KvLaT/ARDEn22PSemjbU/GmpCpli6lplRaKETHzvHSjqwX5+7dQE1KBnsLIjubQAht8iYCygB+hR9NWIMhaODY4lyKClPpLpEmKrwtZ3FztobWjlYOdRyKITC9GN1YRZzHyY6hkt+B2fo2jmRpYTD0fMv45gxy7fIkSFxPD394/zX+ceGVDK1ezYlsBTN+3nCWsNWA92AyY/Xt2LUtpERGNXtR6MlGF9ThVXlZsPcQTfmxF9PkjslYAhZS29oobh9ou29NTOTAxIlUFxaybM1acoQ1OBymO9xDUVIR4YoKxhw+wuFxY8mdN49EYxrN3+/ijPRqOuxhvn3hoJigLPTSBSjVSq5+co7oMGu0WFCHQqRG9D4CL3nq9nyO0834pnkicbtoS+yN22XzUbpR2mGHFUEc2Rq6e9xcZZMJ44FPK+EC6WaW4Agy47ibqohTrfh7fGGWHtvNypnSqHhql5WXTlVyTZL0+YtTWCkSgRkuHM4E2WFWgE/bjc6XxJiJBZRuaOHgT/JNY4TA7qIwZ9uf6E5TMbOxm89PeZrGtEzWTBw8DVxAz/521F0+zty5mlFWOfE6r6WJo0NkImlpf56cdh+zj8mEU/jbvdfJ5lwn7VrDkMY6CluUdMQ9jlc/DmfixeQ1fcmiGqlNo4kKiLh41w/sST1AU8Lg1Yj2nNd5s1OqfnkNE/taSPuEnBlFv2XQG+SK+OGo33qXNm2QT+epxJZFZs61NDW+S0BbCEotjz33KHP8TuLPOoWUt6VQgOKGFnrl0FUddhhkdPqN4VqWZ1/PHpuTNf0iKXYkTKDDeB5Pp13R99jv8tIYmzMatg90Fj5sGQ7r7ofLvhLcAvseF7w5Or76mh+XntwXrjj+wAGK9Aq+NJ8gLxDHlaP3gJBxE5eNMs5Mm0ZL9ejhZLMGPn0TxWwDDb+TWokeYXd+nTzBN7prBzOWXcZ3TYKfTjbZJumm19ByjDdPP4/Tt/zUR2AE6EI65rRKa1dOYw0pkfwgAVf8FIppHbVkZpLddQJDYTKmWbEjviFtAtY334r9bJ99Fs9hmeQapt8oH4fabYS6Y8f8LacsQ1cktaS0BQWMLj3KKUvyMLR48eql61kRJ7TP2zGhZ1wwnxa9gtPmy+RlWryJp0fkcW95Ixussgng6nYb48wGrj5Sw2GH/P6vjIutAr1+1oVcsnZlXwt6zCXXof2mtm+8+78Ce4P0uT5/3uV8N/ckKiua+ENBCrdYf+LIPPn8ufD7F/lq0W/w6mKraIJ4v9G+jebWAHtT9tJhUNCaCGcXnc1XFZI1RULUntWmNfGbpffE/Izl4zL7HK3/O/ArgfkfAOt70k6gPzIeepAde/YQjHh21CRn4Iuqjly6cy1mr5sUp00mMOoAmoTdfb17jV+DIWCgZvk4XjnyGmFFgKCrkMuHjaf1xIaY3zd+6E98jFQKFlDceBCbRe7px9vr6Z1+1Tu3Udg5gni/VBpd+NN6MYckw9rBoy89wfl3q1EElMw4EhJvTmfv/IlVU+eL8e4lecUUdDTTeKKLiXozHrVBzAVyRfw5eqFBzZUVN1AfXMPkxNlMtZhorD+Lo5ajTOkagzKkIazwiyREQI/GSJzfhUelYe+wcdQNzcfgSaSwar/4GkxeiHdKx2X+/PnoBZO+zk6ygkHS7vobHz+4myR1ryAtRHPUaLH4SCDE0W2NYjBfd6Tc6tNq8GpUPH1xPj1uDae0LyexPZZoRaPyQDOkCjvhIKt6PIzyq1BG1amiK1aC6WBKT2zVa8lBJ+cdXstpD28TW3PPnRHm3HPuQRkRVP9999/56shXTFNdzqi4gQnYfm03hlASiZHQP+8gCd8CZrv/gdZvJy2i80vp7hIJTHuCdC4qrV5CSbELV2BKCqq1jZx60ni6Pyjlxs/fw2a2oPf5+giM3lnGO4/vIdEh3dgPFigYXxNm7Yx57BorEQu9fR3zd78rHotZNQXsGV6HznMIXfMhnCjwkYO2X23vuHkj3WqZjAluvTuzDshfoJRfq884uONqLzRtThY8dgXKoHRs0ruCBDQWHrtqKr7siSR32/n6D9cS73SI0vJJT8pj9Mv3b+Xd3hByRRCFR/78cvQads0Y1ZeZNTXexK7gD0xXnRyjcZmjmdInvn94WLaYs9Xfkfnvw3P4U1kDZcZ8OLRTdEYOLH8LhcEoJsJ7jh5j3bKlfeRFPNYTJjD80H7O3xomYUgTdErndzh3JsonfsNPG6T14FNO4+yj39L20fG+CsGa5NgE7kun38iqV/fD6cWElSaer5dIc4c+zEcnjeFA8UiuaRCmxGIhOO0sT9yCjcFverO2bWf72DiOzGpkyrEZlM2YKTrrZj70INr8AjpeW0XAakNpsWBZvBjbV1/FkBdVSjGqeHnN8hyIXVv1Y8eS/bRcHRQIjK+mBl9PGKFGotKFMGe7obdFIuaTwYoo8iLg0eFS1a/QGPs+tnc52JrgiCEvArrNMnl4+mKpQrV+8kyxpWTJ15OabMFqSkEz/FT8Zatx6g10WeLJaf9lk7jm5FSRvAj4pMUq/mHk78R/5zU38vzjf+TuK5VcWrGOlRYzzsTLcFuk803t2s0rXa+AIElSwHunSMdqZEjdR2C8jbL4vX+y/W9m5vPgmf3ar/9h/Epg/psh2D93PP/CgMdzX38d57AidrwsyVH1PV2snX+W+Pclrdt4aspEXtokXyRGuxOXxUQWq/AqAyT3FGLyJGFQKily5bHl8B66DC3iiXrvxCs4viaWvAjITpD9H9TecvaHPYzqaEfja0Xpq8Bx7GpU2c2ir4XgbXIw2cu8lnnk1x4jrb2dkCFEa/wsDLoecmwe1k2sZWpDIS3jp5LutXPV1m/FnuXI5lpMXg8FirEU61U4kQiMEy8C3Ym+oZ8ZKgZFMUS6BFfYFvOFx0hI7cXozCWjqUv83QGlipsW3U5RdwM1cZm0mJJRE+SRkh8pri3HrTOIQYEZXUJ/vQfTvffh790FtrWx+RWhVaXCEUwmFFbylfWRQT+vbZ9V0pXcQ0AjlYrtgQBfrVjBEK8SPEqS22agQEVA5cKWeARzTxHqoAFVULqRqILyLtka9nOGV1oYq7UhCn2xHd2QEuLcIaYEVFR2Orh2qxuzqwejx0qa1cZvb4LHlzzPSflSXF5ldyUfHv9QrEyM0rSjCKnReVLx6FtRBA2ENU7a4yoxOQrZ+plcIRHgVYbRRTJUcrQHGRrYSQPyTUvXz9BPaRIyjQdibrEWdcTD4vyfVtOZnMTGWdOZW7KbOQf2cPLuWE+Vb2YoGNmg4o0oB+Gsrho6IrFGwjRZNIRS93F1gHEBufrSaGyk3iKTl1HVFob0pLBTdtb//wrnHd/VR17E93RUeA1dHN/0o2jaOLr6sEhe+uPAhPE4E+PR+OLxa20EesbwxGmjudUmtV8sKlUfeRHh7CR/17M8m7RPHJEWEFKo+lLjHyqSyIuAXiddATqlghXpiSKB6Q5baGlKQHtiP61/j7SrFApWn7YcZ1RYYy8cDjuTz2xB3Rs/L4hQ61P5vFReDxrIQhFVaCsfNoxOQYQahR1v12PQ6FEEbaJHT7kqlRTxyg2R2PoQJzJ/z6sBLfP63X/TkhLITEzEmaIh0BG7QXhuxRxGV27jw3k2CrvisW2Uxn/d+/ZRe/ElJFzyML7GdPQTLiNucYqkDemFELUQCqIdKbVmAm3H8JS8M6DtnX7nH/uOZYPHR1tBIc6EQyT3+MW74ZpRc3npzN/wgjuAcAoK3/3bKYaoGUhYP7WYUWbpes6NyiESsKfHyXkHB/pCCUS+F8q0Cu7Iv5gLC6y07QNXtQvvqkeFOg2ecWeyIb6bzxedSnleIU89+zATymOrqL32Dg6DkYsfjjWni8bCfTtoPtfGUy4fE70+ahKz2BmQ2z13b/6D9BcFvHvKu0xIi7RDP7+K6W4Puwx6zm1rwDBxOu6SgzTmp2LByVdLfVSlLWbusP8+8W4vfiUw/40IOpyi/XMvkq+/ns5XX6UmDQ6EDnPiZamcqMbPy8vkFODz2r7kqo3PM013En5vGpt9Q1BVfEt8dg0ezxEKO8cxrfEUdCoHy1WFWNrmsNnlZkPKRnbnfUv5qkpxFDAaY8f+SFqXV7CflRDW0NI9jxbCmA/+yIV1C4gLGPjixGt0xVeJzrId+jZG7vqasdVS5cQ7fxrHPJeJfz/tKHw+9gm+nZPMULu0YAi357SOKcRprQS03YxRSjdIAzrRmVO4Oa1zOElTGhA0q0MHCQkzKYXSvw9FUIPBmcmwSilV9lDODFFY1icuExYxVJQYVAxXqqkypTPaW8ND7ws3h0P07xAHhcmA9Kn4wkZWWh/EF47tWUcjwToea8peQiovVdXVKCLVD6MzRyQvAny6TkJqD0lpZtq6GjE5JfcZpfC8cD9UwPUONfoIaVip93B70EQoGCatO0BbgpoJFe0o0JK6830u21BGx/CbCaoN4reXDinAp6llWqZU7TlWfow7195JriKXye1TUIQ0pLRJAlOTPZ+1I/7JlK6xGL0JMeOhvdBGrfPLEh4nJATqRaHMKItT4x1BbJEFvD+cwVZOdHTQO1DakprAhoL9PPvi96K+oj9q0hV8N3shHQnSuZDd9CGLq5NJDQoVxaPE28OoQ2qxJdoLq0AeAxLDqTXXsjc11gtlQnmCEKxEriNXFN/6dLLmaVxtG+YhOWwfJIsqxefGplBx9VbZnC8acw/sFgnMVatinVd7UXTHHZz47jvGNJ7Cdq2CPN10zp2Qza2bJAITiK6iuLvhCckz5UIamTAkn/P3V4qfey9C3zYQuCaJst2tlPxQBwskLYg/FBbjK5Lxc/O7L9NVEtvWqygqGpS8CGiZmESloYBiqvCi4dCOIaydrBRGD2PQIbZQAhiuup6DToFoxBLJxQlP8Lvp14jkRYRCSVCVhDoovdf4jmfwquTpRYdWz5eT5uPSGfjQsIznLknnqo37+PivkYkZtZrvZs9ia7EUV9Hsiz3/FIYCfI3Si9TkTkc3XE/91ZI3ljNrFOZZt2GOKiYK5CXsjtVmJFxwAcapU8WpoZ3dDh6pasY5/WSYfjL/2LaKpqzLeKxQil+56GAlqwX36Uw1+5Pkz0TIjhLiF3rRn8BEY5hR1+c2PSpb3gy0Wbdw+eFvaPvihPy5fLwb33lXsXShQHTkCcAPlp0VQ2CslngKzj2Pyi++5PxHB1a4ojF+lJmz6h3Cxyii0OvjQPAnvMZJ6NwlfV+3IGcBBaHhVOxrQ+1sIOfwtzyn9NGsVjHUHyCwyIdD20VxbjOnqfag6jyXlo7pvPn8UQrGpTBuUQ65I2IrdP8p/Epg/psgGJ+VTZnS92/z4pPEJFXByfTD00eRs+UIOlLEILumZKFNITELtbeCP8d3okBDV9p+XH4jAcPn4mitMFs7pX4ZUxokP4sck5N4pbS4FZgdFNuGk1JzNkGN7AFRlNZAi0uP3ZHA65XzIKJnNNrjuOjoF7w/Yimn1y0lJSDdmOeVXc6O4pfpMFfz8DtBhjVLC41PY2aHRyJjOgUM0SmZ1roArVLeqZo8qSw3WlApI4tehJ8I+zYTOhx46FF4cft05GoHl/+qFUqSw2Z6fComd68ivqeaoFLDgQJpcqU/DqYWkbF4AbqvJKLTH15tPDqfDa23G41ehd8TpMk/0CBLqVKI5EKAIqwiqX0a1tTdIokRHwupMTrk0rXX0IbKb8TZosWT3E5IGcToyo5UYgTCE0ItjHyEwKYI8bsDn6DLWI7bmMYlm+yoej6luFFNXeHZZLZXM6a5nI3DQoSUGvwaM7aEMVzZPJfO414qghWsXLmSyUhj9MqgjuT26fJrD2tZNv0krN/2kNo5eHsrmtTolC58UeTx+/zpOKQzTITNLD2nde7Fry/uC7UTsKdgBHcbLDycmERal5XaBButRgft8fSZmUWjx6Tj1bNXiH/Pr3mbGc1CBc5ISCdRIJMjwEX776Eq+SDbCr8UH3OohGpQPG6VO4a8GBVGrnL/Bkfge/w+lyjuPpYzt29SaOmRXWLm0pwvKth+e6wjs4C/ntAx0VBCqK0VdUYGa/98Lyfd8tu+50fWVIomhqMvvYiWl1/GFJmyEaB++qk+87L0MAR6xnPlWUWookSzvmBIbAUJFYDAjw+wmsVk08LY3AX89GgJKTNNfQTmnKOVBA4n8uF9u0QDQKXWwaigg6OqUcyLRIJctPpr5pfIVgsChMiPY6PkSZ+8vAMkJjVTUz0Rmy2DEsNYShjLxXzFLiZSOVOeIGs3x5Pr6cETCNNmTMWktfOJq3uASbWAg/kWDifEGg0KAZjGnlXi+LnBvkbUrgkQnLe/HT9bJC8CKt1eri1rpjVJrur8MGMewb72rXCjlvyVhHF/de5MDJNjc5Ga73kWZUIB9vwJ/ObK80QC/tdSD3+YYMAjxFYsfZGs9lbu++ezDK+vQZ2aSuYD92PzBzinpKKvytWLW2fLG0QBbb4ANg28UiS3iF4flR1DXnrbgr3I1mlo9Mpbo9WTh+MJhXAEQnz8iWzs8Mi7ApP/R+wBDQe5b/RAU8ojQ4aL1eUT+UNo+cOdPKyMENMpsYMcU7QN7PXJYnYBs4dZIGp4LtdpRRlnFCtk0Xhm7rN8cN9OHMIGVvg67Z84Y3YJQ11WqN2Kr24vunwNymkXsfEnPcfWCWJj6QfXHOqgePrgnk3/CfxKYP4bICxirX//e9+/tYW5pBfs4o70Mzh654PMqTxCeVoOxzPzaUqQy3RG21eYbOYMa60AAQAASURBVNIiPsFZzEN1v2Nj/B6eMryLMqRihH0kt3efJrYjGn1hRvfujgQ9TSgRt/kwhqjBs2xdiIo26aQ/aCtmi1/OLspwdXNh2XpUiZNJNsiLXFpAw/z2yVS1VjEsMuwRUqjZOlsSIQuYZFRy3HACg1JY4KWbXXzPMM4TvDr6zb2tjd/OHOtMlEEtqD2ElNJF5IwKbuyF1dNBkj6F5EA8DspJOCCNTDdmzWW4N8Cozmrx30eT+7x2xb/Xtim50CAfC7EhkFDMpoyRDFMkMqTmWzpSxonkJRrtqWtIbV9G+oIe4j1DKdvZHnPDj+9KoiulGUVIRUqbJDYMEMKWskdscQntI+lrVXhMTSJ5EUiMIqwkrBAci6WtUbD7CCfX7cXW3cGhMdcz5fhKslp20ppooltp4rIfpB6/1teDT5eAR5eIVr0EahR89vZqnHGxuVEWW2yGi4Az487nI+eaAY87TbUYXNkow9JSMEIvuaCqjfJdy69UC9v+Ad9rsb6KIuzBb7kcW6KknQqo1JRn5fPshVfxyMtPUpvYLWa9hISfEdkKvjPnXoLWvTSnKnGblXh1CSgD7cS5y0j0SfoUt1G62em93Zj8CSS45XRrb2IJJbp0qqLe97SMaby0+CWUASXPrf8eRcAvTuC54yQyrwiHKexsZkhlFVnl8u5T7wvh0SpRhsLYj7WhOPim+LgqMZHhjwllfRmC5ujSNV/xeryOBWZLDIEpWrwYTySoU7CdF9qXBncbTU3STWl0ZRnPPv0gJxafxFcpCXhD8SgUozisLqKneRrmrBIyMlQcRZo8OmXkvdQdfQp7pIiQPGINtyi3c8A1mVP/Uc6x29sZzHmnfPgwUfeiC7qYZNyAukD6AekZFSKB6cWHyMGGAo5l5LOpeCLTqo8yqa6Mdbp5IPFKETp3GsMafZRna8l3N3LPULlK0AvBr8eeIukvVIEOFC6JXG4fOpbufmPYTcKNPqot5tbp+yaxxJ+lUvDBi6dxyg92ChlonyAEKQZzJnL5SalYddKi8rspsZWoptR0fnvXQ6z73WUkXSkRoJfr2weQl5/Dw1PMNBoVmPwh1Na/0R3Ig7kPgD4uJkjxrTEFYlXs/ebOPgJTNnes6AtjQYXVcYLvnduQBACD4/CQ4exMG6gLEhx5v1y4jJfPvfRnv/e1YWru2PktJEsTfLtmjMQWCJJ/eIv8RUoNmV7hfI09RuNMuRx+9M84uuQNYL1vAjudY5mS8iO+qsN82PG8uIGbGzeMY+6BE37J2T9frf5341cC82+GYKrU+fbbJKxYIbq02n/8Uezpdn8mmck1ZWWyafps3pmwDK8gNMxJoy0uOSafohc6l7TbSvEn8mjdreLfF9tmUGc3kGwdxVyzikS1UvwzKXKeusIBdAolejTEh010K6Tqi0rlpdGrwx1W0x4yUxLIJs1lpQ6pVRDndIuuq9HkRYAmrBIrC5euFwhBF15tHNtmyQt9gjrAavMuAgp5kRjrKWaiaE8/EF09R3hJ5yfDnyiejcHIri2v6Tsoli75Sk+QOl+Ice5O0KdQ1OFmwuaII6egQzHrGX/kFeY428Qxv/5KeacvRDglDSokw7qD436LNWmU2OMWHETa0uVKWC925a2iJHsdGRmHUFlhUedyTMRWZvQuC4RbSOyQKh8CqjUhEiJeMgpBxBKFkFg5EHQwOrElIkwiZTdsYFGFdC7E99QwZ/vdHBk1iqwWQTzq5IyNK+Vj7+sWCcyR0VeLi39A7RxAXtR+M1pfVDlX6xX6WXz7/H5MYUkU4ta1owyrCGhtuEz1JKgbGOrzcNx9EpaxM+HsaySe+amUc6NUOvt3ENAEeggfu4NlujIsOHDo1vL+DHkR3DtynJiOHRTClIRGWFBY9KWbaZY6hW9HjKXQWIcrTir5CcR8av0SLO5M7AnHcRmlE1jrd6AM+tAHoloiamcMefHbxnHLoqfQqXQiX1Yo9SgjE3WzKg5xKHMIF2/+npHV5YyLEnwKSOsOMr65gks/e5e0zkrJ8EytxnvsGAMt6eC8n1azffZs0ttk75mwySSajQmUS6HSEA76udq1GfcbLfxzyBCucQe5ZJW08Qj/8AP6ZUvxJiQwYuRmkpIaKd+nYeicj9Ait5MNeDCmnsDZMhZLzj6SR6xFaYcL7opNRo+GblGYQ2mSO3LBqP1kqpppF9uzYYzGgflS0XBGwkytUaaV0TA4s7muZC+PpxZTa5CuZVUwQDCSIN4fHtNMdN7j2PQmSvuFuvZiVrx84xtZVUZYFN4IN3Ev6kCYVfVr2F5g4N2ai1CiJNBZQaBxL/pxF6LJn81zxTo6I+Tl5yC8Pkd8AkWnLOPdxg6erZWmAH8ON9V9SKM+na/TTmJDnESwErtWsrizhEuPryPcVIHiN9/EkK9TUhN4pLKJLV1ytfny1eehV+p455R3eL7kebrM0JVhJrElVjtVfF4Txz/L4p9nXyT+e0JXQMzP2ptWiDoUIKBU/yJ5+X5CJr/5ZjE6hQ5XXCPn5Y4h3xAhQkVL4Ie/gjEFdGZMXvm9PxJMwN5VxbyaTta0XD/g5+7braI9ex4N7SdRo1aKAwXuDwe3J4hP+/nJxH83fiUw/2Y0P/AA9u/X4PjpJ5SWONwR51cBgp39lnnzOJ6Rh1dYfCMYjLwIUPmbUYYU/KNKNucSMMUxBrs6TFKUhX8vOoNBDMoAKUo9SSEz3UonSqWPYFAnOqav8w2nM2xC7/fwcOk2VqUWsLNYz4yqbPZPlMdai098SEv6NGwJRWQ2u8jqsbF/3EQac5egCrai86RhNnZjMPbEkBcBIxRJaPsl5fbitB/qaBynZWeGsDvQiC2ZpTNc+P/+fR+BaQ2EEYZx6i1DRW2FRZkacz8dfVzoVktIjTJLi8bMWaNgp1CtmSOSl1+CU2MTyYuAFrM0hrPF/RH37DWxZ4p87AOaNNz+FlQhuay8UR/gZF8iJrUdrTeZeq2LoNonTjj0kjNFpNphtpdTHCEvvRCO0tvJC7lfU43F7+7TjXRYNFTFHyHVq8ZpTMOva8ceNSKt8SYQUvpI7Jwklt7fX2DAaglx8dY60qx5hCK/U4AjMVYU2K138l72VoorJ2ANjIAkuYIlCEJV8aVMmqxgd9SQ2GmbrdjV7VgiUl6TuLuT4ddoOF5QREecJAwPajL6CEzZkDL82dmszJJEgyp/IzrnNlJtp+PW2nGpXIS1eoJKLaqQD523mxRnDkvylvBjXeyYaTikwtu+jDWlLX0+OCqNkZBP6ldNqyjlb0/FVlKiYfA4uP2V+2IfDMhiivXjwJZs5NQtLnQB0AYCjI8EDZpOPx3nqlUohBwsmw1VfDwao5n4yhMsWi+JYgUr/Pw62RtJQGZzM4pCFykp0sj30Kkfif8fQqz405R+FLWhm8ypUlCk+fvYc9tuNrNuwUI+n3ESmdYOpjbJIvyklDrGbLfjVzsIqRTsHzb4ddGLTqNU4bJFYhiicd7C5VS/tBLf/GO0a+Wx5jkH9pLZ0crHUZ4mvfDrRuHRDuWj6bK3ydtjCnixro09wui6MIwQGfcXkNMumdUF1Mmis3Egkl7eaXCzObGZad99TrCtFGWiRIYaDAo+irLz/yW0fvw5f+z283GLfAMvMGjxBENYWl+mxnyFeL4KuKf6Vf6RdylfI7Vo1IF2hnV/yt9F639QVG+G5gOQJU3M7bc52Wlz8lxdbOhqRZf0WUx+X9rcTKwMi+RFodMRjsSQaO67lN0ta1h98kwOF41AFwjyt4MeDPtXYw2U8uGU0/lyUWxwYn9c9s0Scc1QhL1cY9rDAyOXy0+mjZACL80Z8NnlzKytJTukJDecxMzKToJk8HnnE+KXmpQdGJU22gNyW7Cu0cgunZ/NBmkzcHWPjqSoTZlb3cLouKMoQ7Njpvz+k/iVwPwb4dpfIpIXAb2x9AKqCgvpSE2hesgQ/EqVPAL9CyhwljDcdCrD9k4miViBXopaQe7PEIRKt5ICrYoUHaT606lStRIKSRd+VShJJC8CPBo934xawchGPyMaYyWuOXU/kNW8HYc5WyQw6a1eSkePpnyUMBor+a8oPN3U6Aff3VjCsuDz+9YHWVCbJpY0CXgIO9vI2tHGmOHDKJk0CZ23Ht/fnxYvSu+J1XQNWUZHJIwyYgiLOSGbwMxb8R75lJBd3hUIX6VaOJ87Ty6motUh6g8+2yfdJJKyUwmodFQVSv4pgyHeVolfYeXTObFuvqpgmJu/6sLi6GLcoZc4NPYGKTxQoSTPKhuZeQgzKdtM9vHRYuOsXQnf6gMYfEWcqj1GediEUOsRWk4CMtq29X1vszGJ5yaeR5qrS2x71cRlMDbSEhPw0BU3s3TzSnxUEso4DWeCnGNicORidsik43C+lto06ZjvG5rEKVFaRqdZ/pm9cCn0HDK7ODr+W9p8BSwNhylpK0GnUHDX7/7E3lHjhE2xCJPHxdkHtpDiTcBtkL08Bjv7PjipkKqkCmbWnEnlkHG8d76D1WN6Z4xl6J1bxUDDN6ff1ffYmJZZYqusMbGVV+Y+xfj2xUxJKo4hMAIBd5T/FUIGtlfKr0WjMxPwWjE5HJz27UBBrsNkElN/P1t8Kre//zi/hJller4563QC4yvQ7ZMcrEXHUqORrD/fTc2+ffibmvCWlYkC0cKGRiZEyIuA/uRFQFpbG8bCioG/i61Yw0kU+apFUW1SsXwe6vcqMW9UxXgcCR4vAs44EuvuWp6aTU3gapaGH0EnuGv7w8T7B7dLfWfmMhYc7uLCH8p59LJkevSxBEanNjNq1gTc713LaSPfjnnOEnJyZvpmPiaWwAjetEGVGXtqVDyDsOuvaqEsaprNGrE/EI9Jbg4Gj1tqI0WiGXpxz4hKrq3K4uy2UiqNTXyf9SatyUIDzUyKN8QjR51cN1FqUc1JMDMr0YwzGOKNhnY8oTDX1MTaCVyUkUSa40s+r/yc7oCNER0zOTxMHgcudsrXyCWt23isOfb1fLb6t5x2xXp6gmrOOVCJexCncZ9uBFqvNIY+uTzEXZ9LX5N40UXcn7odd3UFKanwfsbzEFlCzi+vId2bhidsJLm6i7zcgQaFp6TEc3JyHJ6gjx01n7IjspXLNGVy62RJEB2D3sDLhDyMNWFeLEvk+66/8km/KzZLe5QFcS9zdMLXbPtB2oy0qkJsNshk/pA2yGWUUqTdxI7WITyVMZ903zAW7nob/eyBVZz/BH4lMP8muEtLqb34YvHvCn08xrl3EXK0Ulv2AbunTxNPH0Hc9vasU0XXSSGEbkXJJt6ZJZXts7pLECJoXDoXFuubvFhRQJrv5r4pl3Z/iEZ/mAlGFVnaiJlaOMwxT4ixBulrdjr82ILgiBixJfqTiXOPoSX+GB1Y2OKPFeGV6IKMjJiZNVsqxbHrcQ1jKKr+TrzBmJzSTGR3XCqVw4Wqg1wH6elHXjIck0jRt5MYNveNRQuDtxXGJuY0DTQbE8SRArR+YfJGwg5DHTanXM1xRVlgq9NHo9Bfh2vDA32PCd/3XXIyty+QtCdPrpVV/qs3biRpruz/UKfvJM8TGyhXWLOapK7jpDTD0SVuNqXp+XNnF7ZjJnI7pB1GirWUz0bfyZU7r8URJ0+3NJqPc9LefYxpT6MidQm16iCfxXegjjuEq2sKzeVh3DqbWCHvrcAEIv4+1Vm5/G7qzYSiEpV7p6ma403sGZojkhcJQbQ9DkKaXLEFZXLk9/08AU1JKr6ZLhPcqlShmicRUqu5mmA/S3xB8CtUvcyBdMqHXMNHKg1Dqk7w2tbL0d01h4Z8OUhQwJkHt4reQx6jO2YJHGyo+uCwfBYfW4RKM4svz1pNjfMIykAOIbWsZ1H6W0Xfl/44krGdrUuy+SZbhVvrYWf2t+yMsnURIFTxl04MsXYfHG/uIRAMoVYpUWkNxLm8zBmEvAimYd+dtpxLV63k8u++GGDe2Iuts2czvKyMvRGh/X6jgegIUce0SWI+lm74cInAVFTgratjwveSoV1/lA0voiE7l0UbNpDS00bY7CHgM6LWulA3KBDkYkeP5zJz6Ca6yuOJ5gSmdUriv5Q/47onYcde2TumP7YVjcOj1eFUPoMpJN2MTnRG7cwj6DaYWXgoyOhqP0H3FoZVWSgvlKuTQvuny+Ng/as3csklMnmZtecnDo+YzDUpCjKdA9sHo80mDgk+KIrYqk80eRFQWnq8T2bjO3ZMDBrs1MpatV6ofTU8d+FNpM6ewVvOR7Ab9+JXdqIIP8jHM0cw+mQDbJKqYqlaNbcXSFqfFI2aBypjScB1OalMZDf3HpXDIC9a/xE1WXdzY5lUCStwy5uDbG8boQD4XWp0cdLNPLWzijePfc1DHT+/8XQmXIS29T7O2Rrigi3ytWFZejL67ha2qKvo9hf1DTIIOL26HFRpKLTS9SuIkKNN5wTXX0EecM/WP/JTnZzYLUAYg07S/8IkUHwOrf4i1nTdSzhoxedYhUo3FrVe2lBMM3+MVukhbUQB/HAMP2G+M8ZeGzWCpXhQTaFvE7/XLRbXq2Z1Cm91JyNbB/5n8SuB+TeJdFsejIRoaYyYl0llutLMZK67+GkKO5qZWXWkj6wIEFKZDVGLqcE9kqs3u1g37B1U3Rej9U3pG9cVsNMZRCPeQeQroDsYFokNEQLj0QgjdOa+G79RiejCeswxlcO6gUK2ZlWI1sSDqLN07FV9Q7w3Hlf5JygjI7W2LI1oRV9T5JfGA34Bip46ZqilfnyVtomgMsCbaV+hi71/9kHnkbb4vTHy4vcNHUJCZweqkDSdEMkU7IMqPhuFLo6wt0ekUpvnzaXHbsfj8aDX69FGtdTCvUYyQnk3eT/rhr+DxSNc8Ap+t0rBkFY98fZqjGk+xvphubuLu3p5VoGH47szCYcUXHSnoOvwEwpbSdecIE9XwnfKMeRWf0NWSyO0QNukIrZmZWLMfo/Ldtcw7ej3ZPZ4xde4YcGLKCKfh9ViYt3ik2hKSiMU5QEjuIV7ko202E2UFGSgjvIkERDy12J2DKwkCTlFbyyJvQFYLRbc2i4MvjChiGi47/jq2xjRPZIeXYiyYXKb5bHyIyQotDRlyd4sAgSSHReVeyVgfA+UJdpZlb4LYze4ElagdZfgM0wULeYPDSmmXb0Xs22TeKaaur/EnhKJCwiHSWh7FGW4X6pzBG+MFm4kEk2aWBHi4o0hXl+q4kSuTJ3mjvaz5bAKly9ITaeTojQLao2BcXWxhFo7Zhy+E8doufluaDqBLT6erGapeufR6VD7/aKzsgCXwUBjbo74pxdOk1yZ8KuUlFt0CPNc2nzJQt/27Xeitq0Xtvg44m2yy24go5uuJIkMapwhhOG8zvLTSc35ipSnwii9ClRFKhqaMoVRu77vUzfTR15q8/NoGZVMzV7Z1TgaJbnD2JdfLAqpBWxLmMDJ1h0cUl2Lx2liwsTVtNZNYGPoXFTqWo5lZTL9wCZOxO2muDPAqes/pzU1m+PFk8iztvLVxHnk1ZdzyVBZfprZWs/sfRvEP+YbbiWu4Dz+/vYHdAQmYblhAnMTLbxS3yYRmJ/BFVlJvN1kjZpCUqBKG02mT027QSbfPck3ENf5iqgJEfC3hEYsESt9ja+apdYuxsRLBOr+oVm8Ut/OHYWyULn/xNCfh2SibX8NW8c7zDOr2eiMRxl2MU1nYeUfriVrWpfQxyPfI5MeIULjxOeSdmztyQFuS2qj0BvixiYx9TYG2kAXvkj8hEKXz9QTihjyIpjvGcaNI2NfJl0ZjxLUxk4NDbE3QoKQLmEaQGA2Vr7H3ImX8Pqhd2PIS1FCEW8tfYuEwfKeohA05/K19SGCvgr8Tkk/GHBvRKUdztnT91FWoqLWNYZTswyMmJnBXw7X0Cnq1+DRwsPcXT2WdlWYrm4Nb1Uv5cQUKZBzSutxTs0ZSI7/U/g1C+n/McKhED89fD+NpvG0TliGc97l4uMOvPxxTAi/WkNZRl4MeRFwS30yxrAOs12akJh5XCIzS8ov52+eqWKIXzSEy8Lbj0OUe0K4QsL32QmregjGSRbaMoGRLv5hfhUqYVvRD4J2Yn/qIVYb3mVG2wxG2kZydJRUzSgvKkJLt5irE1RLi1OKYwgJodiScyCsoNOnxu2up8QVYKsjwE1D/sYthX9nbzhEi0vKehGwYZyCqkKpfqqL9IW9kbBDgYyEVCq6kstRByQ3yMGM07x58wg9/TRfnHsOLVnSQlNaWorfF2TBMGmBHBfwk2yXJ3N250o7c7veil3fiUfdSry9htSxdvIXdVKwuHNAuK8xzcvDFwheF9IxVChdnJF4P9PMn3Bez9MsOCzv2tLa9tMVt4/Pn6vmzJ1hkbyI3xN5PuyTmFFLYhzWOAtaRQgTXowBF0vbf+JktuEy+dkf2UkO+JwCA1t1HiFk7lx5BzYCG3FuSbDdmiC9GWVUxtGGzA106jtRB4xi8njMZ6gdgjN+BSF1MnFRfjCnHVw/oNLSoFFykuJrFvoaMfZ8RVLjbeK0nPhzdMNoNrZjtsm+KVrPQdFcbFFLNcPse1EF5daPAFGI2w86X5i7PwuR3w53fR7E4pJP/CpbJcMikbkVbU5x8zD6yF7MkWkQu8XMF+esoOD9dxm2eRNJEyRSLSQk96ItNbWPvAj46SR5RNWslI5Zr6hYPNZqFW1NDez9voqmLukmGU1eSkeNYs0pp4gV1l7U2OJR9HTitUjkIlyuoWdPNzn3IZIXAbkOYd8LniRZ8B4XIS+CXm7nzJnUxMvkRan048yTr+Oy9FyRvIzqkdpTvxn7d06b8CK6pWdDMA2LpZO6QgsbxqWxbtRU7P5PqbB8RXG19DMM6knkNtfQqlLx3sxlYhWnbGis0+ry9Z+T4JQIZ3tdDeasLJyt0zB0qrkiOVE0eBtqiCUOV2XL49G3HNnD9Fuk/Xprcir68ePQDl+GcdYtZCuFiqh8jvp1I/q0f4pgT98EZi/mJctE44a8NA7MHk2RUf7dQ6JccoXWy/DgdnK73yZbCw2Jt9CZ+youy1Is6YJ/k9DRVom+dwZxDZWwzTueTxZLN+j5G4y8lHMBvy14mi6tNDIvILOzlQndx5jUKZ8DflQsKJU/R93IkQzftROFSkWrepRMXsIhFEEHU+y70SIRXoVGOteGzpGtEH6s+IAb1t3Am0ekKblemDXmPvLSWNbFjw9/R9tnX4sZVtE4XJWNx3Wwj7z0QqWqw541mi3thdQ5E9n55Uf4JyfSopauMU0YLrzuLuKFkNlwmDcNAZ6bKNXNLqpZx0M7XsdyMHaU/z+JXysw/4+x75mnGOFcDHKVHB8Bns9po8MyuHj0/e1ORji0pClHcc7OJI6q7TS1BRD4RqFOiSly0+xFjVdabP2uDZAgl5Lr2p9nWkozWbpa6sI6mp23Y4mqXOiVCnF5SAkqCIpjrRJ+Z9OzxuClJukItcl7mdkqJ+xmByewcX4q43KMlCWNgXb5Rn2aOg+1r5DXI6O3wbCCGTU/0OjXY+5UYY8bRRAVOQE/M91uru7cy5MqmUi4jHG0GXUMqZZbSAKB+eqsM/FFKjFhlZ/mHD+nZzRj++hHmCnZcPfCOvRUtm8+QFAvv5/Dhw5T+qUXT9jFuPTXua5mJrWiR4qCV2bcOkCwEVAoSBxmJ2X0QHfVXlRO93Go0MQkjweXQskVw2T35BEJNspFnxTpB6d2HeC+bXI+SjRCgSbCSqEnnwMqJebKw3jScznVUEJGfWS8N/IymlOz+XrZJUw6vJ3pB7ZSUTCWoprDELYTDrlRKKWbcCjQzpZxMtlRe6vIr3gFb9pt9BhM1Kc5yG/XCGFWfV/TpetCFTDRaYzjWJasnxFXcIUSt0ESDxbU/kC9bqvovrwuqxyNQsOsxlmkeFPIpplrDR+L09FTOuBcu4NWVTt/yIhMroUDmLtirdyFIMURlU8wsnAUhxtjDeFmZc3i8XmP80X5Fzyz7xnxMY0/zPOvyOTC7IE3/hHkL6dOpXx8Cc09jQzX+hEaCA0ddiqXXU58g6Q7qcnPZ9fMGeLfVXod6HVkFwb7Wkm9yGuQCOXx4cOo1QZwmWVSrijdDcMn4tfK220VCoKBADu+3EOqFSRKJKEhM4GyKUPQ4qI2JY4h7TaskZuqRdBWpPnAriTznwoyiXXDTuuyMfz669h/XGp9xn+gQl+qpDYvj52z5GuyF/qKMoYMtVOB9B4F/coVOj/5piR6G6t748fwhimJOXFWmsnkDZNkNCng4u/asHjkG/EPEw5w0k5Y/tNnnHHwGx47V57mi7N3cd1HzxHvcJDZbafbpKe9thqNToXerMHj8It+NTqjhswobxQBZ+ig97a75I2X+1qngnmhcuLv0XRLZDPDEwaL9LmEUZPQdFfE8zGExfq2eO4E1Fn49SMxOH7i9ZYXOdk+nxxLbCXj0E9r8LlcjDtVrhyN0XvQ1PyBoFLH73gRm0KqlDgTL0WZLgXfth+KE/8cuSCfjPp/MEw5ix/GzxM/YKG99cC1tw34DNbddIk4Xi+gLTGJm+6bRocuEquQJFQpalDe/TsKf/Nb0f9HEP1+aJNfb3z7k2g8x6ghSOekO7FUSRUYwxvPcmbFnSQ2Hyas0IiVouNWSVMTjQtHXCj+321zsfLJvYSVBuy79zOy7ENyXnhejFuoP2ply4+NBDyy5q4XamUJ370tb4jKd+/k3RZ5jX75nAni6y5WOvD0lDPfupVWbSqfZp3D2ZedRfYVSzHNHHhu/qfwK4H5f4jqt97EWxWHyBqisDVNzxejJfJi9Lr7DJ0EfLfRQXqklJIRknbQE30wMWGgqdFmewCDEloFYZ6g0A/1F3n52OXIZGz6cX7QxVHRVYiglfeFhWpNWBRlCt8fCinRhsGngNOdGgxhBXGaMoYnbiS9fQpZrlgP9tbMbHb7gtiiyMtS33gxMVpAfjCVWlU7KdZmivZ0MjSkQKkNUTTpVlS6MJdFSV6eiXuFqvhUvDYNGc4MthWPpmqEhYyMyE5SoRDJSwA16ohvyOjRoynOyKC+dZeghY95bR36Bvz62BHR2qoGdHYzX417jO9rHCQlrmeD7UbeSwqT2z2C+kR5IfB1Tcdk3EnGsNhQvf5YaHDwXE0WC6OdoSJQ60Po4gOUGyeQ11yKwWllvOwV2AevGtTWz1GkSYtnOFLm0bfWk9Hv5/aY43n/HGmnunnGMlLcNtaPy2dYXS3hUA/hYCcKZQ4O5QZ6lPXsHi77csR1vkiFzkOCSyJRbQkePloQojJNHnPW240Q/pBPpwnj3AoK25tYenQ334wdT2t3CpryHvTDNDSE1qCiB0XECdcf9nM08ygrasZwLR/3/TynQkGpVsupTheL7W185j5EQvsT8vMJl5PdtoZubSud2iN82igLOF9d8iofHf+IP037E/G6eOZkz+kjML/5KUSCc2C78t61+7lsvILZb5cw6cBW6qZdjn71Ufy1smi2Z4g0CG20deDs7sKUkIhOEUZjbUXnGPh5N1i0Yvq4obUTd3oyhnaJ8Om6A3iT5ZJcbxxAONBOj1+egBMysdS3tjE9TqoUBL0mDm9LpS3OiNbiY9TFlQTfVdFv2Ej+TLxeTuwrAZOJpEe16OuhKTNzUPIyuuB76o6lovVL536nKU7U0pXu2s6ECbFVk7XNbVz+yh+54x9/7Hts+v5NWDzy8q8cm42fbcS5Mugx6lnUWYrs7ARXff4ay0uk66YkT9qddbVI648lSS8RmE4PKTkW0gKxQwBpD9zLzPGzuMH2GZNPrxSvcUPQg1ulp9HnIy9C/BN9ITEo021ejCPpclEbldLzMd6gF51bqsI6Ey9EEbRj4CfsPjunfHkK35z1DWtq1nBh0fn89Oyz1B6SNgKmRGE9laoTXcLkpkbIebqkj7z0Yn9WHtFNudGf1DJ3xRw+WyKbPg5GXp78x9/6yIv4PrusfHbb9bx47mV8ftKpVGXnYV6yhNzLbxKf/7zFyu+Oyedncv11LMieyuYG6dp6zL+Kh/kd1mQj27bt4FXHPfw19wVatbGaQSGzaGjCUEo7S5msG07FopM4aphOOFfyYmpNn0Jx+cfU3nIH6nGT+MG0AL/js77vT80rYM5Fl/PVYw/Q0xFbzXV2deI2tqAxJHHg3pMx6dQ03XUXBTV20pFee7qvneHOaqae+ruYiIv/DvxKYP4fwLVvHx3vvc8+ZRIzLAv4NkuNIDFZ0hqgRw13TpQJy93HAtwTUZ3//YC7j7z0h1C1Oa5qZGgwXUxEXWfz4Qwr6HCXo1RnEwp1sTF5Kk7c3I6Bt70Nkg+Fx8fjrmkYjscxMvgmzYmXsttoYCxKhgiEQ+hrhhSkqzpICQUo9hfgMFcz2tCJql0OudM7UvCYJVtwAbZIvH1mMJGF/tEYo8LYUnqKUbfXMeHgVlEnIkDQdHQeN5M2fmAlYsgp7RwpyUbjC7E3mMPyCU76xw72khcBcdlDueDjAzwp3CR6WtDFSdWGMlUTpRr5bqBzZuI1NRNSBvhg4gM8XTaOJN234nML41+mUZ/KOuVS6pEW4qSGC/HYRzNi+I99euSegJ44tYf6zUnilMvxQjg5T7qRLaRswHvx2lXoLEF2Lgjw6Mjj/PM5iI+SiXy01EhKm5sDQxR0GSzMORwgHMln6SUw/RFUqnjnXGnR68W6sU50zhdRKOeKBCYU6ibs86JwH2TN6VeL7bYhtcdZsvcbvpzaRo9WIExCyngxRwfx4fBYThb/9ELQZPmUPixWO9ZKqdrgKRduRHeiMp3AkPsWWsKiT0pHuJUliuYYb5gHU5JYbTaxzmSkUaWPIS+p7lRWVDs4lGQRCUw0hsQPESsvwp9eDEsYxpVjriRlbw1TS+Spo8qJ6Qwtkb5fFwwy45iSySXS+XX/rtiE4iPZKTRYmzH1dIimdm/edj3Tzz6fLR++TXGHjdxW+dwWP4tJEwhppkJgPSprNSZ7Iwq/D7UiyAhFkBNdsgeQVyGd+37XGsJCaT2CwHQfoSgbFdV8JxZ7PvWNYYbMkRb/4CA6y8/PPYdFP60nqauLxK4ucUpJIC9BpZJ9U2SPIQHqHivqsIv6HyQBesPmFJIm1LEh5XQxv2n80T2UH9gCV/y573taVWo+n7ecA4rJqMJ+bvrhRTQ1cjXO7Aswdc0+lnUE8amacei0aFzyjUnj8zLthDQW7E9NpjlBatk5OjtoffUVzImzaK+z07ZuB4mVQYbu2MHC1AI2TJ1FUX0N/t3b+CztK5HoS3ueMLmeZspMhVw/PcgtNV9xes1kzN4ivMbpeE1SRcljWYwxUILXfigSRFqITy/UuxS0m+dh6Pkec/eHnPG1pAf7duuHLDoka8BWP/8kV2amYjgjzCzNYRrIZa1ioF5jf2IqhrQM/nnWRZy37jtRVP/ZktP4JWRaW5l8XCbh0chpa+4z0ku7SvJ3ea2+jXsr5A2nxnMUZdjN5PTJbG7YLB1PlbRwpCnzONsqaauuaD+Dx7Lfwij4vISlVvTwxOH01PtxbDSxauXLYF5Ac9bsvp8dUuk4OvJK2tImEQ4H8dv+2ffcvPMvYMqKS3HZpDDaXow++XR+2rSLDG8bFzd+QvX8mzAEvJQvXsRxhZ/0zNiBh5uL/P/t5EXArwTm/090r/yG/S+8yf6TT+bCzrFsSVVx/1iJsCTscXHjVLl3vqLex0lt0FuYzXAFafWHSFYrUPc7GbZpjlOpahXHnrX+RBxaM1q3GZd7Ix9nrUCdtp6OrnOpx89mAthzNmIcU8dJezJJrjGiDbvxKrS8nyAstiHsCBeHBbVKkNRrSE/cwom0XSQ1LCbXH48qWg4vTOSEchFmlfpjdDBXJC/eUIhjQRejFFpafUriPSmoI06kvXA06QclMO5ODSNHN+FxqHlS/U9CaKkgn0YyB3ytwpLGjd80EheJRHDsf4uWmXdxPGylPsoHRfzaoFokUIKr7MLmySzQfE84rEAhuDAJCbrOdtriKjkYDmMKWnjZPgszQdKDGThCI/mkJky3X8Pe0U3c2+LCnOFl/ez5nFwvaTr6o+zLDJJH2dGNcEK65CzanCgTmDaLilHmKXycdhC/NsyivSnofX5qEzpJonBQAvP+0m5UDMcTVaUT4DWMQOfaQFjIlwlAwPUDDqOZl697UM402bEGk8uLNqjFp/JhVw0c1R0MKn87tQ4zJaFCQpUDp0qCzmIyHal8bC0hOWrH6VEoeCvewlp9LpUG6XPe00//IGB853iKhg4lrUBNRVXFgOmJ/hAWxt9P+j01j5wnpGOARsOQb1aStmkTbSVyXeD2rwdTRYH63Tepe+pv4t+VkWqAz+0SyUu6zcHoxihiHmfCGAhR/PwLrP/zAYKeLRD2i+RFwOSkRuYkbaemZSmHR13N0OpvKB06GRRlxOU6sDdFtZsGCfae9dfHiTv0AJ6QVJILpwufq6yx8BcWiGnz3QkJIoFJbW8nr7YOl9HAqjNihdrqzhYMbdJuXAhcEAhkyBnG2pnDfOtBFv/4GUaXJGjvj5fPlVpHy1hNWqgKW1hmWvltXRg6pdenDYZI6jctlNzTTYZNel4hPKdIkGbYFQrqXnyJ8CzhPB5Kx49biKuRNgz3ClWbVZ+R3NNF5vRuibxEIcfTKhKYdm0i9wy/ii+yazkQJZTuhcoyC+yHcJtPwpEkG/0JEFyWda5daHzSJqbO3M0X8x0s3ZWO2aNGoQqx+IzNdJPAR1zGLqRK1mhvN9dr76SEKbyluI5XdfG8+oBU8dsycRqaqGGKiSdKKSmWyetjz/+dd847hzvXvsbPIbNd8oTpnDod3ZBCat3eGPIyJc5IjTBKFmmb9lYbHcqBo+5THWNIcCoYpc9iu0oa7z72Uxs7v44YOWbK1TlFKEB2lpKGFmWEvPjxdgsRBtKJWTR1JukjxmNtbKCn38TSlqRZtGmrRQKjJMzQTS9Q/sZf6fH7KBspkSkBQTHNLYTLFut789+FXwnM/x9oKy+neXuY8LSLOLcznY2pav4wSb7xRJOXP5d6WNEgLaZ3HvXQaFRibfJTGRS8YWGRRY1ZpcAdCtOl7hbJi4AOwX5TJ/wRsmfUHMgN4kzZhdI7gulxG6hXQasnF2PKdvE0XTu9DX/txSytrmBl5hkMUTRRpGhkqsKLL3gqalMbeLKJ8ySLAYqWyM29P6Zr41E6R1NqKo15PD+UQpOrkiN1m6C7hzi/Gu/Y63HrY9NqBQhtIr8iEU24i85QPOWhYYxsLKVpRyL6RB+Tl9SiUEo+MgvZwYPhW8Q0XmEFVikCFIXKebUjhxBKenTS4qbprmGv30pXijQ2GY2woY5LAlsgaCAjXIYrfC724Dkkah4R8qHpDtzIjQ2vs0QfINHe6/+hpt0nLSaphnV0+/eR2pFA+Nx6cvDRUlUwIPgyrDGhOPVxgh//DW+39OQQn190q/RqJMt8m0HLXqGFUdHI3EhCZl6HjTGNHUyuVbJ+6VhcOgW+uCSOjJjEFa1v05XWSUCVQIA9xHU8izLQSUCdiSP1JgJaSVdyMGcP4yoN4gjjB2dHpnlEwy0/yd3SjTnZo6DZJNi5969rDQ5j4+fsC8TeLIVhD/nUCPNna0cMeWlTqTgpr1ekOLjeR0BKzzmceaSM4rOL+K5e9lzJDAeYlxjE3bUJDIImQEl8vOypY1u5Ek9pKWHhZNCE0BYUkJCaSs/q7/EcOiR/nVEQMlpQ2aTXEH/OOYQs/Xq4EQxrsTKsVQ5kSvvDHYy4+uo+0nTpjTo+fcKOPaBHFZnSyzdJO9UkdS3taZPEPwHvYbLGbSVtvBVbtRki2s1g5NcG/TpUGmm3fLz8DjyhiKYlfgojF95B3VuXiwaBGQ/cj3LGTHjzDRwWqaqR1GmlbPhwjkVaztHQR8iLMqQkpAwxMX8EJXXHRbKl1OpJc7pwCJ/bz34asJg1eI1KsrrsDG+x0mE2kGsd/PN76JWneOWcS/jdx69jvOfPuB96BJXTiSoo+LxIYlu3To2i+igUDhVduaMxNDURQ1wlcbkDp8xyPbEx1QdM0lRLfwQMo8WQSEeiFNzYH17jlD4CI8BuCnD0DBMzvnKRcZWNv/AENQq5Aim4B5++Yy0Zi8Pk+2NdrHvh12hFEnPf689xxozJjIs4cM88tI9pRw9y2srNqHQhmpFaUZqcHPwRHZWAzE7p5l7nl7Kv/lIut94fGZbNVTmplOa/R7u7nRFJI+TXrpJIolC1/9soHdOtQVY0GFhQdz6mwkT2q99kRmC6TF76oahxLQnLb6The6naF3Bv7yMveZ0OsWr52YN/RqFS83rWJTHN+A921TFaG0tqevxeSnNkMadzylmMmzSBytfux1Z7nPAH56HImgQLY41V/5P4lcD8/4hAtwfvG83s1tbSqLJSo7Hz4PjYcm80FrTJ27Pz6/187W6jOq4Ok30oqpCKL1Q1jA3kst/nhCTZvyQavpwAWrMRrW0056lqhdk4hPmRlflvyw0XZQBN4bt8p76Mp70vsUK1VXz4W82VTLCDVggQFNoy7mQuajgbb0CoWCgJKaTHc4PJZIeSRH3LTFUGUz2pvK3fKD43JpArZgDta1vN9MqjGPxBHCZJL+M1J6NP8vF16hx+O+Rb6jYlEXCp2Tnsea48JP3sFf7NXLVHutA9XVqcLTqcqbmUu+cwxfw5xqAOhyYgrsDpdHC+8gdmaEpYGZqFQ5OGLcnCgdmT6DLJ5GWGfzjxYQNrtQcxqNSkBmcSp3+HYDiNNp8kcOvyy06rnf57SfI7B92lTkpeTKI2nWDHGjozVSi8kBSIHQfdY1xB0kk3MnSi0G77Gz6HVEXJDQSYdTiZsjQd7ZZ2FMEUTsk6ji+k4qeWIhKcXpG8CIh3hRhSVcWucUP48cwVXF51O/eMFgiaPAqpc0uOzWp/A85gN0F1hiik7bS4+PS0G6nNkabDenHS9icJaXUofV4ybGGRwCijJ3zCPkZUPkNjMA1/23S844oIx2tJaV2Hqy5ahiohmG1E3SDtCM9RbmFhSCKaAgQafnP6QMI6POCnTC0RukRfAragkSfe+BqTx0vHn35DztXCd0p3+bcaWgn6NZQelc3Opk9fg9k0jEBXF22PSWTHNStEz7lu0o//SFzSBAo//YTOt96m7TGpErNugoLlbXF9BEb7+z+CSyYpE085nZLvV5HocMeQl9RbbyH5mmui3nCAhG13oFKYURv9FJ9bLRJp0xEXmyckkaN7ljOnr+Kt2yvJmLKblJFSCya+0EHJJaNpteczZvwGfCsvxThtOVlTv6Kh4R0cTvlaLsi/AbU7k+0zZ1Kfn8fpKSmMTpOyzmxxceI496YF8wlEXGH7QyAmgr/N9JoW0t58HdcLL1Pm8eHxevFr9aS7/DhMEn158KW/88X8hSTarGyc1ZsHFSKNNpqNKRQ328TrN68fealNjiOtxyk+N+fgXq78y8Xw/jsIy0PZQ4+Ir8Ho82OP2NW7tBoxo0t8DwlFYi6aMhxAlZREXIGPlDhJo2Pz5+MO/ZlwWINfdwJ7p49IaskAvDQqnxydhjNKKij3J0B2v+DDKPj1ErkwuVU4DRLpPOooI/d0M48p5ADFXgjEJFRWiv60XLL9snNxf/zxvde4/IWnUScl8WCzlWdrWrj+qw/F5wTyEl/g5puCKZx/8dO0NTei+eA5jF276TgSR4bLKR4nweDuvaZO1nX2oFEoWD+1mGGR0e7RKXJVZ272XLY0bsGhcuNRwnXTjFRYVPyUCY+IXya1sx5/bjs96VEBVf0w/+Vbaew00KMI8Y2uiRVdJX0zXdVJ8aj2S9NC4WCAkY6BguBuTewo9uaRMqm86tlXSczMJtR0mHVJ7ZycfhyEw1f+A+TPhCFShtf/+DHqzZs3c/rpp5OVlSXuWr7++uuY5wXGee+995KZmYnBYGDx4sWUl8eeKFarlUsuuYS4uDgSEhK4+uqrcThiJ0AOHTrE3LlzRT+P3NxcHn/8lx0z/5MQJhB2P/4VlcpWDsYF6TaY+Mv8KXgj00KjG2MZ8n2PPwHNcrvDix9P3gZMGccYuuxehp91B7qU4+w374f/D3tvAR3XeW5//4Z5RhoxM1hmZnYMYWZo0nDTNG0DTdOkgTZp0qRhaBpmZnCcxMxsy7JlS7KYcUbDdL51zhlpNLbTe7//vbf3+3+re61ZtkajgTPnvO9+n3c/eyfGBjx/4PhckmJXvkxeRiDdc3y7bW7SlxJ5ed9i5vzMdNab5FWQIdqOXSJYJPIiYnqomDP901gemMCy4ATGhGMlQ5HInOKfRGkokzJfBrt7VlF+9Kg0wEnP55Un5YDSzA1z7+TJUefRbElF6ogEPvt4nSTIHdN1lCu//gYhJL/+oDmHyoElkpX1Ps8ZUmBYOBBj+22kU0UpacoBPOpMQoKRlUtPpsMU+6zjQ2ZGhbNIisiT4oAijCN8Eh3+V+gK/PSgJ0jG/idGgWUs4yyzONKSRyiiwB7o40v1mVLF/JOm0azf1c1nj9yPz+Ui85GHUZXJrY4ZwTBWj5IPF7fx4qlBVFOPUmHrZkJiBzPsjYxriS+5lrce5t2Z53Nt4194Y0QmzLFQECa59ZeS3b5FezuHK+6RyIsx7JHK+Ende3jhwV9w0xd1hKMuqjlOeQIUuzfkDyzwQtVdfNC6geSGyaR6Itg3N6Ee8KKqtxPx5om9vMOvaS78kVG+AyiJ8LjmWR7TviDdvyE8BregYm5eNgd1csaOdGDEvXVzkOmpsQrNvc0hHlwZksiLdB4dUbN4q4OlLjfzPV4yQ2FyW31SiOIQtm1bTmPji3Q9+ijh/n6UBSk4Lgoj6OHQqhs5euqpkmmcrii2ou5IVNA6V+6aaDMlUV07iGcwNqyZfEGmDgaZUh9b8dvOOiuevIifYfX90F2NXecha2YXGkMYjTHMnmk2glolAcHN9h2nUzL3M+xl22luGoPbbWNw0M6R8CQcxiSO1CyjQz2TmWeUY7XGGwBOmfwhRuN0Hnr5ZYm8iPhy/Xr+Eg11bcvO5vOzzowjL0qxJdyiR+n3ou1qIcXpZk5NC5biEvov+xn+bduYd7iZknK5WhNWa0ke9EhtzrMr93HZl++S1hPburi5WiZ9Zo1/+PqVvtfSbHbmp1OZnUx1RhI16fJK3JrrRV04GbXRhNIUqyYbA7HFmFerRhclMB5jGrtn3Il21Cjy7jyXZGssTNAfuZGQkEWYVLY29+PpPfH231DL82hL/Baq9LqOL1FG3Cza/T5L18odbGFNDkafjqxuw3D3UlCTz1upx5MX6TMN1kpWF01uLR3+E/sPiZh9w7VoUlNRqNVcm5PKwbnjyIuKlsXzQtzxv+zmJxjUa/jo74+zLdwjdTEmzQxR9PabZOjk7/H2I/KC7cbc1GHyciyeWPgEv17wGars25lzkkUiLyfC+yf/ktoMHY+fnkCfeguT9vyN0dPtVMzJ5Py7pqLLzcUd6KbP/Q7ntn8gXb8tenmBqTom3iXf08iXaSvwKnV8lSpbW/zugjknfF1LUopEXnB1oXz9FJm8jIT7eKnB/2crMG63m/Hjx3PVVVdx9tnHs0GRaDz11FO8/vrrFBQUcPfdd7Ns2TIOHjwokRERInlpb2/n+++/JxgMcuWVV3Lttdfyzjsyw3U6nSxdulQiPy+88AKVlZXS64lkR3zc/zZev+9OxgpzebDUzc58OYxuCGeH3iev1TccYDYjtJXI0mwu6kxhtsLJ3YKZfaWvMDE/3v67tHQzu3efNlz/FbNtbO5sHPYTC8WOJTANGFBoBlDp5G0Dh76fHXodf0qODkbRQWZsIJ/OhDoadDExpSgU1qPFLQaoeQLkq4OMjWaiDIYFdpua0HYcYU33p5xUJXvLDCFrUhcGZT/eSCJ94UxQC1wT+T2LjJs4l3VccXAl81r3UTrQIm17NOUsoddeiiMh3nvEG0lAEYnvJjpEMbsZTeBYx6goZoeNBFBiQCuFTAYVYQYVPhKj8Qj/EbJ0p9Lq/+r4+43FVLWl8O6gAUOwnSPN8LRyJsFI7HKp27WNggXzIT+b0McrGVTBhsledCEdfrWfd9K03BBtOCjr7afbZ5VSj1Mn9uPcZkPf52PNppM4P/d43c+JYBr4gPq030r/v7ztcx6pkV2Fj4RshFvEjiIF6d299OoUTGASTSmD7O3eK03O7+27lQUOORl4i/6XeHo01K1OY/+WIv4w6xrpnNMmrSNP1UlR31TS26xY+tMo1X3FaapY6+WfwxfSWvAaKANY3QJ/fk3Aa9Twl8sj9B8+j9SueqzjDjDG72LcoT66q+MJuKddx2M6uSoU8inx9WtI6A/SlxT7fpu+e4Tkj+XBv/PstmGfRn+5QCjglDouUn/3u+HH99hg37wstrZew55wOie/doQDanmwTnZ6sD7x7PBjlTYbRSu/lRx0RTid+3E495F1pBHlJpnwjrqwkFbV1hN+B+1tKRxtMBCskdORGxomYhDd+6LoFqwsnZchtRWbhFiFzGyuwGabxPvvv8//G+iaa2hyOyW6nTHgoiJawfONWBBqzSESw+KCSYffoGfZpEmEursYrG1lYlMno275HUOvah6Qry+7QqysqfBpxIqLXaqm5J18GgfWrJJ+35JoYfDUXK4681Ywy4uKkYJNY9RjRzomNjPWbnlsETUXPmUngbN96HbdO/yYgeDPCQgyyaofrKTZfQijN+ZiPYSLaz5l0OTnhb1r+PXk+BgCERUdX3Gj+TVUYxW0b0tls7Acl8LK7Mrx2AZbqSvNpSPlVtFI5bi/Fa0F1MFGrANf4zSqeLDpECFBB9G12uLtG1m+ZT23/UoWP4+ePiLgNegFjYGcF/8uR0aYfoTD3xB6YTHvHxiFEFETzg2wfVICZaY+dmzfgKIopk3J0Wv5VV6sXf1YrOv38vujg6CKD4s9FlV5OnYX6aSuwWfPOYVzuysZdWVs27Wt383bzzxCeiBGKLJHmPKJWJs0lwW9G0jzd9FkyOGl3CslLdO3v5pLoU1FvZg8ccwe5Om/uRN6auGZ43cYKsvvY+zYc/m/hsCsWLFCup0IYvXliSee4A9/+ANnnCF7Yb/xxhukpaVJlZoLL7yQQ4cOsXLlSnbs2MGUqE33008/zcknn8yjjz4qVXbefvttAoEAr7zyClqtVmqj3bt3L3/729/+1wnM3+75NZ0zlKxVVrFTf/xxWKJaiW2qk3McFjZbp3Oh6jVSxnfzFHJon9jHcrxZNhhNDtRqP6GQDqMrF6NLbAFVoAgZaLHWkuU5vt66KXUTs7tmYw/Y8faei8a+HlWa3NYZUCq4KkO+aMQtKgIampU9uBV+GjQxErIoMEYiLyL2uJw8ZlUwrX83jxjkkuCbiR/zXepqTm20s7w1XrleenY7Kq1Ac7dBUnkkRBR0ITBLVU+DSZ6YNUJYIi8imrMXcbTw+OC3ISgj8QPPIWJ+BMeiVDhCi9ZEql86SlgFI72KQZwKzzCBOWoM0aNUMy1a3PONCaE/IJ/yKdo7ODKYTKt3J6W2+DTqRF0aOqWRrhHhhUPkpSU9j9TedrZ+8h4rn4u2+hboeSItm5NaTsKv8vN91vcMqKBRrSa5VSl5S4jIn9RLQp4X9x4z4YCK30kBhzLUlgsxOD7kqoFenrQf76pp8B1kMDxAtt85TF6k46B20JqrwNloJLuzi97cNHwt3by+4HU2XXoSc8fFl3adEQWd2xIl47ZJ3TXM6KpiS9pYNNY9TOyYgVHUXInnqKae04yxNulHVLNpLZOFi3anwAvPRld0Tj93vJDOw1Py2GydwZlV67j+u8/pDsXIS2Kpi/4jZrx9Gqn0LnrjNa5OIuDUYNZ56Buy6wiB7R35OLvnhAkWCajcaoRgiEgCBPMEdEcUdEWrFiI6ExRk1HyNJ+e3LKuTiUk4pEIdCjOlPj49V1dYOExeWtvep7panqyCDW7RgJW2NN0weUlJPonunlgHlM9r5vDh41eoXk+CdN2Gg3oEhYAhQxaAGg0xb52cnCuorq6Wxr4hiIs50TH6RJi0cycH8rNQuWOt3uObOiXza8OYMrwHYlXarFn9dHeIi6EFhEtKiZx3FoeeeUrynRYfP3HZUiY8K39vBkd0O9QiVj9UbC3MxKOXKxfjliwbJjA9CQFeS9jH13vv45W0V0jUx7cdGwIxAuPVadibDcrBDxBCrcybaWFUXYz0DobOwBU+S/r/uo4PCRfvoGCSh+TCXzJkSze5/XkqhCxuqX+Z21X5vBJyMDNTJACxikVRyyEuyepHCp9WCuTM7iSLFg5TQd00PSUDDjwpv4snL0IQe9tvCKszUQfqpa4fhw6+mKOQYlfEkWNc7110m5bx1wVTMFTkUZ2VTLpOgz6q8fF9cy+67U+gOOsFzEYPpq4/ogjIA4omOECFrZODkWRS5/XgQs3hcjPv7a6jNTs2pvw6Pw23vxe0du6ta2O02cAVWcnSfPmHmlZeHiEqH8IfjwS4r1Qel2895OOxcp1kVjkSRx97UpIQRMJhvv77sxxYv4YUIb6FfSRez74Yp9rK9P7tGCJ+kgJ9dOtSePvq6YzKsLLqrtviyItIWq959lUsYjv6qzED0iG8VjeJ3kM/UHHuTaii3j7/avy3vmp9fT0dHR1S5WQINpuN6dOns2XLFonAiP+KlZQh8iJCfLxSqWTbtm2cddZZ0mPmzZsnkZchiFWchx9+mH6x1TA6CI2E3++XbkMQqzj/3WhvbubjubOpU8frD4bwqnAR2miHwdnWtzmbt//Tzy12ylitXfT15aAVBbbRpeeG9I10WhoochZR3l+OPpp8nNzbjl0jf0ZL0EJiYJC0ugyWOnRsy3PiDBYxamCUpG8xh2SBoKgTGYkSTym93iTMHeslgydL2xpCs29krL+VztpXSS1LQ1B+zVuPioNC/BZIzrxeVqmm8FvfDSxQqkkOiwRGSamzEb1dR66lgAOjriSlZx9p3btpS59BXZE8kI1EWAijCHehVGccR2CGUFB3lIhSSUdGOrNav+ZwUTlvZx1kGglcV5+NkgGsgoFeRAIT06xcqg6y2BlgGkZqDPDwAR8vRYMwtYoqdvaOp8u3hkeNmQQ1Vp6XGtblK9iuy6DdGxMHBlVqXj/vJvoTksnsaOLiz/4hPVIUmd6SlUSaYzZWsRoUNjC7P5u1yfXcbTyPa/YfoG1cJrreQ/xjqonHur3oEkN4OlXkdgsczVBQYKhge+Ip/MrZx9WOlzD5U/m7XYs1pKPeJFcsIgSkraS0kFrSoAwdqUFM9Fdksq5oIt1iyTsURNVQQ9vv7yLHGt+y3IGKbZvTKB0he7i542MuKfiY3sF2GsIncUGRA1PXLnKQNTiDJhVnu35NR+4HGHwC+V1w0dr4cnSBs4MXVj/G7XNu4LqNX8odMlGkTx2gRZkiFvbx9WmZ7nya176JxRaEVhnJHsik7awG0u+Ur/ewRcB5pvwa1h0GvBY3vskRAvkigZH/znbmGdSNT6En8Bqd3n5m18ULEEd19Uj5XSMlreZ5cpqRy10zTF5EtGYYyOzwc6Q8SdIKicjNvXqYwFgHglQ2ya29J0JqQhe9zZPxG7pw7HwJOiKoT5XJrQi9roJ3v5bdn2fMmMHixYtZt24dGzfK+rRUl4sus3xeLli9RmqjrhlRRJxW14a+qAiNIYi7MioILnSTOm5Q6u6xIIs/A5nJfPrXP+FzDeLNz2TK9TdJ4+pJG+UqYzg9an1gj9CVpMOj05Ocm8/yG39NWkER6sXlBFYfYutoWd9TO1DLs3uf5Q8z/hD3eUduIYkQFxClpiySkwopCMa6xBpTC1E1XUNY7cZzVj2KtVvJmiifzyUZm0ntXIzPdYCfG1Zx9r4+/GoViVFN2TdHv6FkYCI1CQVMjWzhpqzHUUtN/DGk0SERmG0517BNtvyJQ0rzVdK/qvAAN4y/gef3ydtKoajLrIheTyMh1z/YWJhOSb+Bsw5vl3RTu77+DOuB5ynxRqtxn8phhccKpIssvXinxc53l1nNzhnx50pjz2YWrroHVf7jdIpMXFzsqQXUzfehc7pQIuagxbaN3t/opiCi5L6oOU3pYIQCd4Sj5qjezifQrFewyRNEbAr//O13ObpuVXQZKkj+OoZwbC48Yipmv2k8v9/2DqZ582jJysXTXEPBYBPYUskMdvPN7//Cobr4rSGRYH321we48JQSNM2iBxdEsqdT0xpgsKeL3oC8rdiwfzdFk2IWHP/XEhiRvIgQKy4jIf489Dvx39TU1Pg3oVZjt9vjHiNuPx37HEO/OxGBeeihh7jvvliw3/8ENHo9k7oaqMuMEZjpwmYaKOBGnsTvtKC1xluj/xQ69p+J2tyBQwhiMg2Qnl6HxdojEZiGhGpKemQTJZG8iKiz1lETyOK8QZnAnFTrZ8omJ1+f6kWlNPCM8CTT0qrRKCM8NZhN32DMhvpEOM83k7VODZkHX8HQJW8viGPmxQPfc+Y22YY60Bjk8sF4UmHJ8ZIxdYABjZk7/NfgKE8jXOWTlJ2nN+0mqWcLRytuka70rrRkutKm4KlPpb7gtOPeg9Hdzn66yFeFJAIzMpRwJCbs3Ys2KK8sHKlhnl5Sjct2IUFlKX9skytyJtUKCJdTqWtgrCdXuvh+t/o1Hpt0Ib9SChz1RjB6W9jkrCYi9BMSJtLlMzMqa4AnNeInjzBnmZVHN7SzwGPGrksfJjD78wPULfgt/dGVaFt6Lo2Z+Xi0+1GYM8hvn4lGG6uapHizGV9Xx68/38q3J68goNPhC+hZY6zkoNbJhrxS5nc2ktUncLmQw6jUNpJbfiA5IleqFvv66Ww7gxsUr/BiwMbHFjO9annwalSH+MZsoSOSgsUzhiMUxZX0BLWGgeIK0sJP8mOWnusTM3lgh4vW6nLKOluGDbu2limYcVjA2OdgZqQT0cXcm/QDhrr4xMQX8+10eD6QtCp3vR+m9PiA3GE8sjFed5A9p5fusJX3DAu5lFV4e7Rx5GUIke1tpG+PLVY8cyMIUcmFdq2O0HgPvskQyopNPP5d61Dag+IsRvMIYzJfsoYxzS+ivrOP/kolXuetjDt7Aaq9m7Bfdqm0ZbRzZ/zWd0CnZPf8sYT9rajVVipG/ZWEhCnk5vycpuaX8dfkM+DNQKkMYTQO4HIlM4PdbEUOwnMfWYFa7ZUITHtXL3R9ATnTmTVzDX5/Fxs21DE4OCiNcSJ50Wg0jBkzRiIwFoeThd9+Kz1PwgUXMNDTgyohvgKX7PKSOKeQztdiFaH0yQ457mLatei2rJS22tqaWjC6XdKWQI3NQM27L7NCFyQxJYn+7l4yMsROtjr8JiXNC83YQoOcdvOd2DPl6q515mj+pvtuxCsL7GlbTSj0G1QjIh70wXgCU26bTkX6eMIF12JpDBFWKjhSZKI91YWv7gihcZ9hchwkTXTVjKKt/SNS2z7izgwfSp1MNXWqMKfNamO3U8/6nV9zTsd2ek/KYZpi6zB56Q8pSIwSkHTiK2wistReWoM6zP1vSR4ruzrlFrHzSs8bJjAiVBHQqAR8goJkh5b2l5/BOreT9h0p7P3hW+yuA5ydc5D/CNkWB3V2NaGgEpsrKHnqFKcepkXIkRPrRVFyUzeh7GcQRsSufFn1LBfxLaJ7y2FGoU85nysyk6l//QBFbrHLS+C8jYNkpGiY2B8mZwSBufion0dGafC0v0ulV0N3tahDNaG3+yk+vZHBJjONq0Xti4JeTSLzr7yBP1etIWAdT8YDt/LDy8+xv7mG6YPbWdJawyf3xsTtIoxWG36Ph3AoiK1nG5of5SDPwRm/48VXxeqaeK3GMqsqf/zu/x8E5n8Td955J7/5zW/iKjCi+Pe/E8kpKVxZOJMPo5XfZcLXXD5skg1bq85jxsyY46GIvXuWM2Hiyrj7gkEtrobZBH02tic0kTzhaYlJRxIa2ZUcId/nIWXQQJo51i5qdJtY7nSRGPJyqeYHLONVKNYXkevvp9Vg4HvbMrJxoCFI3+B5/+Fn2SH26omDQNdOlJoIYvFD4VFy2drYABY4hryIMCQFpG2j3/RdyWmur3h52W/RdfeKoTMotIkyeTkGI8lLSY0ovlPgFToobavmSPky3Po2xhodWHurWGOXO2IUYY0UIyBCJC/fjJ/Byfu2YupRM5j0ID5TDrXhWLVlu6oEY1jMfQqyLlzFlPWfsNDRTJU9n68LxW22Xhb3rKUl5CQ1xckYZRe9eiOLLHWMDjSgzPKSK6ynKv1UFhwFi0Ze0QeVEbaN1qHpuhld0i8kky2Tz83hokFm9SwUjRGGQ93G7t9P5bhxREKpLK2fxOdnxdK+9dpCTmnK5bc5dYxrO8gMrZYJDg31vXnsbEgjF9GGvxBR8ZBKL7eI55UAvxxwEFbAywkxlvKxaTSFnTNPMHzHUNmRzdeeCBUtYF5npoxj3DwXKZlxOIzWoSIsBgnqBAy9MfIi1iGuzEijtUNLqVPglB2ROPKyMm8aB0ou5NYfYtfcSBSf3sFgi4EEvZuPjPMlAvOfhXtWWGpFjmxaijb4PYHO6Lo3X5w45fPW39aH6UMLuZeGUXs9JPXsI6vhS5J8bXTdHSSsB9/UCE2rBQ7/o5XLH7yYsDLI3r1XDr/O1N0D1BQaGUjQ4vW3SlXPyZPew2yW9RlFRbfR2zuLlV65C2+2Zitzrn0H5ye3o2/YMUxgVCGRbcnvUfQzepbLyfpxC6ePv4jPP98sbR+JWDZqFA2LFpN4ycUkn38+y75dORyhYZgymfR7/0ja7bfR+/LLsCl2vFRW4zB50dmCkq+KSF7ac86lqy+NVQ2log0LYZV8Imq0WoIBuZL07WtvcFXRTjYnnIy/bj9MA6VaIG+RfPYoTeKiUSYwqmN8ic5MCLLA0si69WOxJ86m8PFHabv9Tgr++Ec2viePe1ZNMgVFdjoqbmLabrlrrdK1kP6kOgSVG90pD46wvIxBLfi4Myr/iigV+HRKDP4ImWEvH7S6qelOJXKW1OYS93fPdeu4KyOaXB/uOG4G+2rKeE76QDRFDPOnpd/ywNYHWJ6/nGRDMiqFSqr4ili6NZXahe3U+FXSltnKFB9jTCFy57fRs83PiqS6E4avuXQqzP4w1cUmius9qMMCJncYg6eMcdVi2zJc6/2UOZE6/lQkO2kHjfJ5Ih1jIcRFvMEKYknpN0Y+ZXakAOznky154TjYPxikvFfgNK8fV9p+DBFxQSqPx9N7A1zG2ywLf4PIl4uWQFeOndQyuXKWWOKktzoBV5uJk+/5K7NL0lDMjWmOEtNjTuuDznjyMn/sFMZccyne55eROMIHTDT7+Oi7eP2jCJ3JLFXw/rfw30pg0tPlPf3Ozk6pC2kI4s8TJkwYfkxXV/x2RCgUkjqThv5e/Ff8m5EY+nnoMcdCp9NJt/9pTJo5mxUPP8KByaWcopQ7sCIhBVWHFhEM6qndNori6Ydw9iTS0DoVlytW2t616lSCFKDzJWLwJfDyqL8zvf3nNEfLfUaDiwcGtzLBH4BEuSrySJcRSyRCsaDCrq1GjDASLxpxe7h0aR/V2GhFPiFf5fy49xpUBNEI8klv93SRqBtHSDRu8ydTH3XMFVufC5b20L7dxsDRE4tf9xYo8KaGmFyn44mc85gf2su4zqhdt3+QJMnLZQwDCSdOyR3CqENvkN65TRrqD0c7HTJFBXsgTPHej3GLnQ4lMoFRhQ2EogTmghX34dQamVl9gES/i0u//oqXzr8Bj8pAUJ+AxjfAIVcGk7XyeVVj6mCUv1tyJl7cvEsiMKfXr2Oso4m6DBvnJx6QVntD+IX1QzSjWiUDpypJEnAqPlMJRzyFVM6vQyM0SDqiuUc2kqSoJNEhtr7mH//5Dh6icuwYaeV1tChGXoagFtTkdVvpTIQfTlqCS/QrGbGdEwrr+BvXsoAtLCBaul72INmuemiTiaUlYJHIy3+Epq5CbtxwvHOwiLsuV9GdoKDLBqkOaHTp0ZsC7NPpWOb2SBtAzyba0DVqeP6T41PLRXRYUhkd0rIxewpzWuRzVYR+7Bgyxq9DE4rgd6pIL3biD+jo01mw+2Mf9sVrnuPmz6/B1xUjyUGtEeVpWYyrqmZ19y85L/l31CuSUUcfE0iEsgvaaFyTQsEiUazewdf9RM/dF/GXRmi/Jb46YM3ZicbYx4Z196CzxSifvS+AxRVC6zBAgvwZc1pcmBfEdFft7V2sXCmTFxEL/LtQWVNJOevP8FE7SwUPoZbdjEr8jOrAFH4km7DoK0QS3S7YO5RIL3rzmM1EfnmzNCd2P/GkdBtZZ8l86CFJcyCGFuoS4j9D2BkzOMt/6XGUY05l4+vPsU2q3HSiiAZOolIhKJRMGWVjy76YB5AjoKOmpYOwkMxYf6/UBjyE1tZ3SbBNJhIJMj0hQdp2S9Alcn2qQNoIitzXv4msKZdQvmunZCzIe6+Qos9hbv5yukbdzIxdsj6ux2Zl39EUypwC7uTK486bPsFKm8/FGEM8O/AaVBKBGVstnyPZSfVsdSfgNqlJTT2ZQKAXQ8Icupuf570+LUutQTb398Zlzr0/rpAMg5H3T3mbYCQoZSSJMRVDEGMq+nzyJJ82YJA23oboUUtQSdgbYe7+AQwBuYruNqhYlZjNWFcfxU75fW2bloAuEKE5oCXd5CfBGSK5L0BRg0xeRMxvPogi4XhDSFFQ/xfhV2Qq4j1wfMpudtbdiqPnTsI5RhT5Ibw1ixljv5F2xT24UvdwqmMvzcISxrEX7+wvWHaMEURqlLwMIWeajhUXfBE7N0YgQewoOgHGjZ/ClOsug6cnjVAfyVjfmU9fX8zPRoTBauXiP/0NvSlWjfm/msCI2z4iwfjxxx+HCYtYCRG1LTfcILPRmTNnMjAwwK5du5g8WVY1r169mkgkImllhh5z1113SR1KYrlVhNixVFZWdsLto3815rRtZY7jS5KW9BGsN7OsqQGTag8vm8LUDwzifa0EryENf1REu337mdLAoG6sRR8RtyW0+NKLOa8mgfLBNbycr0A0oU1SC4yLrpyGMC/ipyNNx9FkLVVGWXBX2OCmoEmuPiQRz6CH4Dd1osrdwLyNejS79dgcDuynyrbWra4+ZE9HSJ8kdyboxXL8iO7viFqBMiRfJA9eqKIoEKYs18KbwaVcqv6Rwyo9vrCGLWsvIKLM5GOibe6CQNC3hbC/itGCmbpE+TX14X4ypCwjMKT4cUfbDJc0xxJcTW4P4/buoytlBn5dMf2Ju9kZyZZM7FKCzTTa7CR2uRhTe4iUnnaemZDOwcoZ3O5YQKuQwuQROp3GvDysTicpATcff3UXxpBMEosTeyXycm/hDaRaa5kV3IYuKVadGJMoDrqnkq1Q03CSn8FAE+qImiWtSzCFfrq7ye7olYhZck8vPSmyt8cQHHo9tuhKO8WXQp9+Ei7Vic3WRKxlJp0kczJr8BcU4dkhtzEne5OZ3zH/uMcXU0+P4GH+JwepKynnwLix9CQlU3aC6IPrl/+cvqzXpf+3JilIdQg8pU7ixxx5oGsYGKA2zUDG12pu23H8EjQslqXLx3P947fxzZ8PECq4lM1ZpzFrm+y1k1G4B23QzxYm8Ivr7ufUmsPcUWrH+4NezF2QHnP6aX+hzHUQ5yIbCT/24+mWFx5aMehRs06qPInkRYQl24uyN0JfAMJaJaIeXSYvMWRMc3DkMjWhtJhCIeyworI5SSxZI91GoqzGRXa7j/XOq2loSyErT7Zatw4GoXkr5M2irq6ON9+MBVGexHpUQ5OB1gS+AWZ1RydHDSRNnc2P8btvcRjz5fHdbtJ7//0vsfq+QOncCT4bvLIUXWMbpe2lHMlIorwttgo2L53G9hoPXd8/RM222ISpEA0GI2HEskyebZB8x27p+A/h4+axseMSVMYRmI6OT9E5+ukIVOIP9/LKpFMI+5pxRe37R6Kr8xtSU+Q8rVR9HiuycrArrqBgd2wy3dF/PwPKLgYGHGhGWAV17T+bjuS9vBfqZrZVNUxgzOrLGDXxXJw1i7FHQx2HkNbhJ/nCVVgscvXA6xav4efZ6lZLt4gidh7cL9xBmuJJfrbyZoLhICfXXMu2+nWsuHYMuaNlT4cKewUb2zaS3yaTC1vURmIIjpqQRKKGIG6D/VCrJ+jJJF9zhG6xW06hQJ+0gGdqqphnHJAITFFDvIOumNZizKtlZngjO5VTCSpEy4EID7j+SKY5Rl7+zi+4LvCCWErCYZPHQ5VOfq6kUd8S4tuhXFcSbZv4PVFx9D9xKhRkg2R0aTX09P5ASkosLuREFZihCve8sQrGBx6Hp2ParSGs7ihkT7/8N5NOPkMiRQfW/IDX6eSdu37DFY8+K+WM/V/hAyP6tYgdQeJtSLgr/r+pqUlaQdxyyy386U9/4osvvpDany+//HKps+jMM+VWg1GjRrF8+XKuueYatm/fzqZNm7jpppskga/4OBEXX3yxJOAV/WGqqqqk9sMnn3wybovofxP5MyoI1OnxvZjIpLXd0gkzM3KE7anb2V3axz9OWYZmoIeEgQYSg934fRZCnSF5oJEQgI6D6LpbaTYdZM6mDMJBBaKNjE8f+0pCKgV7x1ppyDXiNcbKu0fzTQSiinQ78Z1B0n1JzSyZtIo576eS8b2b5N5eNKEQnvWPEGhYj3b70yT1VpLS9SqfuuT2RjGMcAi3zb+Bd8S6pKj/SJG34bpUap4On4V/ZgodCakkamQCNRDQY1LF2H8k3IE+uJ7zcjfy0YLY6nW6+nmqc5XsvfRk0haUMik7fktjCKOqq8lsc6AOmenxWzlk6MdkqqVg2lMMTmwkohfQBuDqnnY2ffgJP287g8NCLpfVyjqCIeybOIEN8+exZtFCQoYRbdhtKjweO9qmfooNlRwKlREOjwi1C9YhEEFBgIDrEJqwhpndK36SvJzx6Wfo+7o5xyeXhJUj3GpFfJv9LYfTC+KqMKnB411H9bJpflwH1lOKK9m663dkGD1MRs28rljlpdZay7a879CEeqgxbGDepwfQByMk98gT3kBibH0vVlquu0nFh5dOoNVQjK/jNCKBBFrN8sCe2RubgJ632Zj6mppTdhxv9ff9+PmsuOEZblt0Pe9V9hIWj5RKg8+QjG9SKWmTHOgM3ayzT+WsBU/SZrbx4vipvLJ7gMCI9HNREL1fWczRlFzyFvdiL3fFkemhZHMRSaPc5M3tY+J+NxXVg6h/wj4kLezD6gxKt9xmDxN3hzB6TuDtL22b+vlu4FYqPSvwO2Kr0YjLCge/4NCWlXHk5earLmR2RgjGnC2TsMfKJc+YYaSMQnnKYyd+Y8ApX31F+jEV5SHY6u5E2bYFPvwZPJwHA01S5aqoa4D5hxop6JaPiea8FXzQ0cOm99+MIy9DSFTI5HBCag+ZhkHOza2k3PrP7d6VSj2Z7T6Kv/uIUXuOSrOfo/vrOPKyLSqqFdHfvw33/m7cr7/A+Xk7SdY+JFUth1G4gClXn0vOmCWkTYw5CUeC4+mvWYxn51VctP0h0htik+qBVUHevOUhXIrj19LGrpBEXmp6a1jw2hKueeq2+Pcv+Jgc2USpcIjEcD3nfXmepHnZ37Ofxy23c9RwgC+f3ifp4UTk2+Sq6fQqebK1B+JfsymqWRnCJ0oDm1J9HPbpWT/TzsEyudIwdvwjvHvaxzijLeZDOGfcX+m2y2ON3RngJuXjnMrnWAQHbwnnUWCWNTUqv4JQXS4frL+PVMfx8QH/WRQdDFBaG++fNml0TAKwv/IGenvXEezx0vvmQXxH5MWuLU3exRAX1afYq/nFpIOMV8TbeogQfbD29mewp1+8RuTr0Wy3s+urT/G75fPNO+hk76rYdtj/5yswO3fuZOHCmPfJEKm44ooreO2117j99tslrxix3VmstMyZM0dqmx7ygBEhtkmLpEUUtIkq+XPOOUfyjhnZubRq1Sp+8YtfSFWa5ORkyRzvf7uFeghj512EZdsHWFaqCBbLh1D8eq9sC/Bt+jQygzMon7yVJYNf0ua18EHHHNSeE3dFhXrDaEUPB4cWY7Kf7RMTsDlDBLRKaV84pDkxx+xK1pFaE8R1NBniPbNgQEnazXpU4XiVRLivVroVTO8nYhvk8QQjEw5bOaxLodgWW+mJLdAHywtoNacwL0tOgR1UKdkqFCNYtbQp0rBojtLuE9skdZj9I6OXI6SmtHPKaHkCrZ7wZ+yeDHIiB1lkP4dB15k0KBeRl3o7jSM2me+9WInotXfbJxGMHnngNSo1mHNe4ZepfgrEVeMZ0DNFge8VI68cMXJdZR0TU5Q4bSZOP7iJ98fIzrsjIYYc1hYXM2mPvOWl7Q9TtTqJhKlKNofk6lBSbyN5rnpcbSmM2XCQtoVNfGc5yvzWRSc89pktrZhdLgw+L1vLTuN020yUGnEg2ip1kHRFBedrMtbg0XhoyinFq9ExvnEtCQH5uBQ1H8bc68UxNpMLknfh8wzypP+YLUBBw84dZ1JQsIv8+pgHQ7OumnF79lPaJuAwrWbakdjW6Z/OdTOnTzQKNNF+RgS1V+CPozXkJIaZXbEdZ72Ftf0riPQtptciVnZ6yOyDwnaBybUR5h0QSBvBie+ZcRXJPifmgIcPCxahavdKda6/t7mYqVczx6chVXOE8SXreSHnPO4vunH4bxXeELr1nVJQZ5chgQJn7HxUeEI0qOUleuo4J7Y8T9zWiSqaYzBkP2Lz+ONCMhsMRilEMyPa615ee0z8t6oJdY2G3eNj2iFFRGDqngE6PBU4QulUGL6n2LRvuE4VHEyhedunvD+igD65ohD7K1FBfPs+2C8bqA3j3Fdg9NmxN3oMchsbMbvk95Y2aQBDcoCGVfLEl39SN36HGq1Z3sJq327F26cl6FJL44kp2u2TOGmQ9+rkFOeRuPjPj9Hf3oa6v5YNhxvod0MgKrYVIxBC4y6l+qtY5+F1i5XssiUQCsvXeqqikPIaOUgwaSBIgiMo6YGGYCx6nHfX/B6Pw8rPQ400ZHfR/+O7ZItpbscOS+Y0uOwzUhQKzr51Mj5fBlu2fki/KpfX9xpZGtaSEJavC2PbLJggT3qezh0EXFrq92ZQnipv6FSVmRl92EVKMITf08NN39xCr6KT3szjSWC48znOtwV41RGv1/OrPXwz6gXO3v9bOuudpBfaMKgNpPbpMATlMTvLpeb8dCeO7jDfmU1U6bTszLRSOuDGlTmO0rIrCe98lM/GOJillI+9p6UYnS6VXB0EJ9wHtXKnk4iO0BGcZhUpfWB1yt/dLDYwI7gtLo5k9s4eNGG5emTwxbZoVWGBcNQMdSQG6i0kFMQ7JqdUZpPfLxcRepK09CVq0TIae3oxjNAe1+/6O+mro7EPVd1kLtuJOjkPo8XKBF0l5SndQ2kDcRDu6aN+y1pUviC8+Ix035iFJ7H93Rc5q/AQQUHNGkceeeOWMuvci/m/hsAsWLBgmNGeCGIV5v7775duPwVRjT9kWvdTGDduHBs2xJwc/7+E1KzR1NrkY+Bzxc7M3/g7+HXjFziFCKuyA+g9IVJ0bjSu46skx2KIwITVSvqiLP6fod2Uy+BXLoyKFtJSOwhqNAxaLGQ3NzNtR0yTIGLV0pMIqjVMavuR4k4HQbWKG8eJE7ebbxZezkuFRdwVuJ8icyOvVl6MSyuXWNfmTOIP2rd5LqLBr4SphirC1VX0RPaQoZEH+R292bhDOoasIoIq+GNMs4ZDbC01dPGFawYTes7lmfR3+DZxI5NdqdyBXE71auFgnhKLRz6mBq98cScErZJgT9xaG4LYiZJ2dw2vvHoPxhYVC1tkYvLP6qqt2Vm8PKGVO7/oIqNfycY5c3CM6PTo7cmjlzyxnEXD8mICulj79BCStA3Y9lSS3WkiqX8Ag62I9tlXMlVhlzqwwsGrUBhrKKs+jN+m5u/T2+nXyyueBT2r2dQ8jlR93zCBSfe1kl3djWPmLA6d9WfueekL5pl3kWzqpKk73uSvfgR5GbtvPxeM8BMZGQm9bowCpzWCYiAk7gHimmPCYBjkJrcenTog6Rxm5u7k7fzrMNV2M270YcSq9ORakbwcr3X59bybqLYfr/UZwsEkJbVTDPz94Gv8KvMOPkwf4RURFtDsjnXk/X3sGWR4evl09HwEpUgmoHnQLgmgxYWvPjHEbcFrmaSsIZcuZqviM7hGYtc4GwMJ8nXX79FR4Trx4kCckHX+MH6dioUbegipFTQ6Z1Ni2Mj5OtHwTAU3bKZxzUGSDv6FLeoiDkuOMDJOmjeD2esvYGN4DHVCJpepvkc5FBA1+UpY8Du8uhR+9dwajh48yqlCDwOpydh7e0noH6ApL5ex+2UdiL3MReLZp9L2kizOVagjdOy0SZEaog4tnKBik380k91HpLC8Ifg0Kt4Oi9tB8d/P9LMuIKO4TLqJSWK733sPqqvxSMovGclLbyJvzbm0ey2cPDsN84V/QVV5HoaBkLQNndwvk5chpHUHhgnMzMlfof7kN1Q2Ng//PqXbi3k4ilaGQ6tBE1BiPPvFOILljKj5bZNIwptINITQMECa8A6NfjFLyoy7Sy9ZRww1Cgx4Yu970KzGGxX1PvPZjbRFoo6QJ0BrUMnfe07scCuiKn0DLdULSCuwIuxu5uStMQ1l4mCQu/u6OKDVSgRGDCK9Ej3XLPktN0+6hUsFgakZ0ylOKGbdWnkba8zs82n3B/iqy8HaTuOwUcY1Ffdi8X+GxyBXrFJ6Axi8YTINbXHkZUKlA42oYYyipisFbY5McKeuc7C/6HZqGlvJmicTvI7dSXi6DMMExqV5hunbHiXdtROfQstHKZdwwaHXaEhPxXTuX/Hsjg+edSh3oCpOIWjooqKmCeU60RhVwdUnX4Jmf+y4uowqPsuZw7lNVehPfphdX3/OurdeISc1tjhybnufq0cfZMekBPw6BSU0odF8SjhyE2rlT2+J/0/i/zddSP9yaOVDF3SqpS/f5BHVAfI0alN8RYP2UvaZy9gRFrcP3CjUWShVaYT94oro+Mki7DmxfXR7IJOMOhWFgVTqR1Wh3xnAOyuCy9CHGa1kN75grdz2HO96IePHOXNoS0xFqRhkmqWduybfxYPjemgPF9BYFOtrPKguIXNGPY0qO6Ks5syCr7mhdS3FynbMoTH4tU5Ste3sVe9ltVlgltqPQing1yrjGPyAJbaPLRqeFQpl7LQdYZu5hlNG3TT8u13mWMUnGs/EoFHBLdeq0IWcnO2ppHxerCp3LAauDKOvVKL0KYYHel1zLb6kNBTG2MUkbtt5TCbcST4OZyvozhkXR16OhdjyfCJMXFlDRsICwpE6fBkCukm3UHTMMlSROwttyw5KrHtIUy8mxHouSA4yxvAc81UFaAJhmp3yBGnQypNu6+EGvn/ua65pWEuXXUHuObvoDiThdcSXp0WUVh+m7PCJc7IES5jyk738LivA0e4BXO5kPB4b9Ucn0y+VgMXKZgdjx/3AKYovyCluJG1AHDhjZFkUURs8XumcunDFH+ktSiM0KgFlpxft/uO1Vg53AH9IzcmTZI3OnCNbuKrjU56MnM1hf3wHYOPMEq4z3x79TuT72qIhlyKeD53Gh+EF0u2Xqk+GCUyluZh37RfzYJO8INozxiqRF19Iy56ucexXCXzAyNbfEd+HeA72B+mwipOjmirXZG4N3cS7wgFSFQPwq33Quouxh37JM4orCEaPhRUnV/Ax+potHIjkc1XwNvxKDZ9FZhEJKrlb8y1FRdfj31bNz7/8hipDGpGsXN5VWvntzg8oEqM2PF5mHBQF6wKCXkHywmycLMbZIHu/iJEaInnpNtjoj1j41Ti5e29+yx7SPH3MNHrJ27eR/TkxPdWlDz2BJTmFpsq9lM2UPW2GYDKZsNNPIGkU9O6HSVdgrXyRc3MPSFVg4zkvgzUDW5+bsXsG4rapawuMUgVL1AWJVYDqUjOuD35Lamv8VpXZExu3xOqwJhBhrZDDD/0J6Jq/IrNvN9eOu5Z2dztnfyG2qkevTV0nZyTeRpquh919VazpLKLm0yFiLHbATcQdkvVxIvw6JW6jLOp19e4Aq5mZwhK2KH444fcsbn3luxVYO6xk9OqlQNshNCTupelwKwNtXxP6foSRoDLInECb9BYLohYNQ/hH5ctsadvGYwseoyyxTFqUjx//Ov39m/hOvYJ7N8slDs2I8/cXhWkcPnw1Pr3sLySaCM7a0c+WKQl4jGpKVHNxb95Fkr+HHzqKWJIuL5LaDyaRVqAmrbufL1sqaK2RF+36NBsJhU76DiXQGsjAtd1M8tRLmfT5baSbZVL5aP7PWG07mUu7XqWkpZO3XniAS7wrSR6tpyc5Oo4pI/QVyvqr/bYwo46oJd1Oe89H1M+0o+6wUtbRzb4JRjLUVTxVeCMLj4Lr2weYkRxmlr2RzzwVUsBlzvgAG8uiGTFRBIO9NDQ8R3HxHfxv4N8E5v8QKpXI+n0IHiXbKxJJd/qoOBLbj0z3OVg2+UWKGqs5m7dQa8eh1JazNG0v6eqdrO4sIl0/yLZe2ctaOUJYNxLPKX7F5brvmNou4HjbiKYyLBGYSCIE0wU0HTHKMpK8tGRnsX3COAZ7+nhPmITCL/Aec4hE1LyvnXfc6wwMVkk5e7+c8CKNzhzK7DVg9LCr4SGygj/Qq3WyJ2kPg9pBErUqDs4NM9p0BKU2Qv3KbCKRPsJeOx0WWR5sCZuZ3pvFz/3XcK7t1n96LP2zwlyflMRrdaNpDdmZnvclOSnx5CWh0kt1TgLpCTGDpt4zIwgFEUI5Ar2tSj4S9hIQFCxvWo4pHE2v9vYTMCWR7Eums3gKPRp5QkhtqaUrqwhNMEhwhGHiECYFCxjwNjGg9JI0GCBv1kOSYZcIneBAdQL5mKn8NCg/DU/heyw0HqU0xYelZxLBUDclifWSm+vQevaIu5iZVDGufoDpqXkIWRfhXnM/m/RlHO5IZ0XXDqpmT4pb1U6M6s6G4NaJXWAgKAVJJ9KTZeEe19Nc2Pa15A1TfShe8OtwpNPXl8VFSW/hdidwoGUR4ewGclpaaMjLY9uM6ST297Pal0rnKaViX630d5EMI0ltrUR6Qly9Yip/cg+g2d+PciCAsj9A2KyhsOow73ffKW39jKOOuTwhGdrljFZSkxVd9VbGk6BWITYYbonENBPVQiyL62ZuprfRyIPRw7AtOIqXNlxCj1eePNTqXlDLBKZLsNEYSaNQ2U5SVBOSPmAhf8ajKHdezJ2cSZ0mQtW0v5C67GzY+SqulffyEpcMkxcRVsFJkmKAx5uy+CxyIX6tDv+MFLaoMtBu7+b0kmlEmtxodweIlBcSKrNJ31MjqaztnUhWTRNiDVNrDJGwdBYB8wRqXnsbwRfzqQoplPxl6qVsyozf/12XLS8qPo0EuCLcjSES00alFhTh9IUonz3iexXF6WsfYt6RrzhN7KkRi15qHSQVofj+HukhoiYG9yFY9Txjd8XntAV0KtyjzoVaWdgtbsnJ23IxN91j0ZSlp7m0gIjXSeMHqei1YVY2yN/Ba1WvyQniUWS5YWVXg5h0IGGSvY0t3bn4oqaVWmMKSt1CfMJ86gJ/xutpYU+TRMU4kyCFUXIxZncvW6KFyEktS3Hqe7gy+UaS84wkrLqcCu1RNvXl4g77SNhp45spQQbx4NcE2H3gARJdsalu5pKpzGqV3axFi4KWIuNxa8oDvQe4+L1zOO37JHaW9dNUKjCm7Hd87oqRo6BSw8uZZ3GhsgOPO4eWLx5m7oJ4LVtui5fqUgtfv9lM0JVNpcFGs8dGm8eKT2+iWchDu99CQ83e4WMionldBs3rM6g0jaZ/1GwcZg2L93/M6Ch5EfFWxmlSM0BISEGt6OZS35fSJFBeE6LBp6LLlkfAEuscEnWUzxUnsceh4oyUIJkagVCOi305IsGXv7M89wc8Ebqcx0vaSRn0SiNeztggvxt3LdfxnFikPg5m/3+8Y/A/hX8TmP9DGM15hK3VqJwKVL0K2nP0FNe70QblEyHTL5/ogybZUj3oWcVlmS+Roj4qzUniykhEgt5D/QwtQffxX8UXnadSb8rlcH0WTXs3oKsTCZICUTMbtkP3PUGp+pG36jfs0pgo/fJR9CH5Stw6dSK6lnrqjGNRBOT3tMJgpK3CNtSgO4y3dl6DytZKxGLAqPExKknei27JMqJMfY6CxnL2i9ORQmCBJSj5Q4xE0SmiIPcO9jSO5mCojztbfs68wRMncxsUAqf2XcCHiR/wyWxYUBbCNyVCOe38ZezxziaukIZ3myO83u3lsNcu+VgMITgvNuokZUVY4gjyjVPLttRtTO2ZSmViJRmeDApcSdLPQ6XctI4OWjR7uOjDPThsNr5ftpSQIiQJbIcwKVwI2uh2wjECe5XCRljtwmdtwtBfjvOUbBK+ipmkJDWcRfnCm7C1LCat+jIiSj8NM+8BUydktPB1wxJOU/WhMHWjn/Qz6W8UGgPagoXM+uYjZkXbwQq+bGPPpIm0ZmfDYIAVZz7KE2ufpGxAHsRuukElrfT+lOShO8HCk+rfcGXFKPzff8xPobsrn56eXLo65TbvzXOypCqVEO2w6bfbcQZyMQd9UnzChXkZPGBoR7Ppl4QsalSmB3ggMpGIXSsTmE4v5oNd/F37ICrxzYgtsIoepioOs10YxbryDtYVzOKiyqG+txg6RhCYwSHnOrHFXjQBi6KlJ4Egai5V3kmC1sFX++Lt/EOhJDq1WtIiAVIVDlJV8Xladr8a3pD36IsUbVQLeby76TC5jrtxH1nHJ1w//FhN0ChpJzxiiV8takT6qcstIFQeq9gF5sRMOgMzj6+SfTJ/Kd8pxjC6tx67bxBVdYQz676lONqFpksMoC0Jc6npDzTYjs/BKla08GfNK6wLj6M7IZmppSn4PAEKps3noW+reWnDUe5YXs5186Nt+qvuhu1/j48nEUlNlLwM4+3zxRji4R/FdmuxM+a24vv42DGbDmQCMxKHjEWkO+ZiUm1Eq6yNfe5ljzIr51Kaqvaz3X3XiE0rSO/RMfGIjf1FThaPmsUva98YzrMawvy0oxhUIXb2ZaHMG82iq6fywYM7+ab7JtoUL/CNqoMzVFrEtg+RwIytsxLs7GP0UavkDD3+iBG1ajazHyjl6N8vlciLiNkp8pbIzKAW68rJfDklTEeyn54EH4kuM0nZuSy76ioyVsW8gA5UWOhJSIe2EbkhUfRqXOwvVHOgyCkRnA2H/waZfxs2qBORetqjrHzzBRqekx2ID+zNITMjtgWd2hOgukTAIxmQKmj2JEgBiy+nLGGc8wC54RY6D4vvO17DszFxFuXGDqa17yWw/wCnZh2i2BJ1SB5Mp9G7AqfaTEShYFBlRi308Iv0FFrUWv7W2cuEowOo8wJUGY2IRXJxWmr0K3mvX2aSb/YpuSP9+CiLZHpYlvg+lYkmChoVeMJGHIX93MmfjnusqCkTrQjUtmP0Z/9C/JvA/B8iZcXldH51p0RgxEVgKEcW1oplWBGZflnH4TQPDX5hUjXyhdabqCGpXyYBBWl9dFvtw+1yImr6C0hXd3PJU2u5vj/eAMw7MYJi5LWmBp16LAkJAvdefTMPvvgErpNCbJuYB44UDpnLJM/ElVhBbBza5eWSmUaa+A6/cQqqQDsL3EdwqlTsiRuKZEQ0XhYW75G2yoyeMHMSgsOtesdiYl4VS9Y9SGLESkjXj9qfSESrJEGbxECglyJdmGtTQpC0mpV9AqUXBPGN0Lcci6a1v2FvWMc9Hz9GeImK2dpuBv6agHdCBPdJx1espprCfOMUJO3Jqmz5uKk1Cyhwxbemt0WaqcsW3Tgj2Pv7aY2spjI3IEUyzO6czfz2OkhczD9Df9739BZ8hVCygcW5qbSOIDDKiI78Lfej9WQM/5zQvJhPzEd5rV6OU/CY7RimXScRl+GvMmsy/io5M0uEyeNhxpat/GX5z2nQplBo8PPJiqu56Kvn+GTqIvLzWikQjiDomwihYLNiLrtfreJ2RXJc8MPSwHj2qhvoUjro7o53uBYxRF6GMFPTwNxt9aj0On5tyUT73S+l+6Uh9qtbUM39gdmKA+wlEzHi5W71m4xVNtAnmOnQFlER3McC1T4mCjUoky5mnFWuhkXMagwuDxmKXhqEDImYvBpaRq6iiymzFrNnkzwBNQlp3BG8BqdglB4jYmNkrFjwPCHO0Z3HLMNaHon6VARR4bKUkDhYDY7YivVZ7dM8y9OSwuSjI6dwkFiWmcqbis1Ryh69B702Il1XpYa2OPLykxAE1IEawposVA0Bwko1+1NifjI/5k7h0y9/T4s5mRdnX0Kl+vhgvySvg+JALX9NeYNcZTfTldWSyzBRPtZVU8nLTdcTQSURmYtKIlhfjM/wOg6WDDj5r/D+pXHkxTn6fKxVshj5/KZP+NJ2YhfVC8c9wkX1Zi5qPJetaQ9ygWMztflGkqzl0raKOUFej9vcGjRBBWVNFqYcTiBd72L0ASOXe14dJi97+8UqnIIJie2MSZDPziJLH4HIQYTVR1g3OpEqs9wwIMLnETUnW6hwhxlfI38HU6vllYTAHsLsJPDMg0zVHb+1adEEGGXtZuOglj67j9nmNtITLEyeNQf7h7HrujWQwobvClCoz0M/5RV8muMn4t3lse02VbgXY6COZ+0zefeDQ3Ql9FD36p8Ij0i13he4mKU8MPyzJiSgaROvL3nA7NIm02DI5efNbww/xqMLsbN8ALchxEmKHs5qVvAz426SVG6cei0RQUGCNjbo+8NhyPyEpNadeEwz+FvWKD6LBpiKuC4zna0N9RwJKLm33UAw2tE3Eu1BpdSBOkt3iDSNgMav5pCugGJqyEK+jurzTuBlI85fJPMPrkfrVvFa1T0kz/jpfLv/afybwPwfwpRWQVi8nhpA1S+n4mzNKmZbxmzGO46wTTVNaqnVhsKE9Uq0QpBV7SVkloY5OiZMbn8/xUfdHCo1Y3FHCFgCkh+GGPJX6msk47ETfzX9V4RGyhYk+C1NZHpz2DZtGn+84yp21VUgiN4MVvmyuUusAo24Ni844uU1n5f0ojv4h2hzrVOyZ8I/7+Nfag1BNCbhJxouJHjGvk6v/bBor0ne1ntxBfJoSLiW3L7HuDzFj06MdTc08cCJvZSG4asux9M1imV1H0qfIRJQkhvx4alXom5TDBOYQFBJv1JPmsojWYzfmSGwO5TPd92iuR4kCjGi41dr+FA1CVV5N4lG+fci6u19uDUKmvL+xD1dSkoHvyR4zOGoDg1wm1rFl+I+m+Sz0wrKMFlJ1rik3iEMkZch2JuWcjERphDhD3g5M2kmKoxEfE48Gx5Bv+R+1MYkFMZkBI+sD3IkpPB4xUl0hvUs1taiU6i4+uabeVxZQ1Y4SJ7/FM6cfxW791zM2vBCNAf7yEXJFMsMvkHebpoWLCY3kkxmIJHX9LG2dhEarY5gYAQb7vRBmh5tVKQi+Hxs++59Tjrms7VukFvst2nLJY3HNOVhaZD9xnELsyc6oH4fFynWYFn8SyiYR5JCwcK+bfxe8yJj9bW8HFrOA6HLpee4L3QFCUYNe08by12nyX4lJz+5gffb5U5HnUaJPxhBS4g8VT8BQcVixXbWCBPJMoTY6M6izTuOdUnboU/U1aTyIpdIBoFLMUoOouJ7TKebwugG3kamcnA4VAHawxZsngLsKJnkM5MYKkDcAyqLNEvkxBJ289SBv9Jr0PMXm4IFziOMoYRHin6FR6llgu99WrtXEgkl4W69WUqGPhbfli/g44LZXKD7nj+rdtArWHlUeTG7Zk5FfXSQ1IiDa91ryY0K2I9Fatcm6vTyto5b0GF6ccT3Zskk4u2nLpTGgLGAqZ6o741aDwUjtpvUBjxzb8O6JtZgMX9gFxd0rOTt5Nu5uPtvKBSyoO2xvCvo1CXzRDl8kF5HxNlMeoVdEkJn68WoSDCO0JJd8n0udq2HK0fJGp+ROOxM5seOEm76w7Xw8WVxv1Mqw9wxuI8qc7xNQYU7FxRbSFQGMRCm4qTT2Pe9bJUgvU7RrrgqrX7MyairPx++76SMWvm8FS9z8fLM6ITKWIzFWsd17On2EgnWoza6WXL4Er4re4UZNWMIRlqozxyk0y4f44CuAiFoRBfZyfgDW3m81UTE/CEm5UEGSaTcMsAseyubuvNo9qyVfFMWpce26vZ2h9ldMsCkmgRSAz3SbQhhpcDqyd2SG7CIt7CQJAxwtUMesK0a+f5mtYr7k+3M9fhwGTJ4Pn0AIg6Mg9/x2TFThUcRZr14rmpsJyQvWZqIJH5e19/ABvTclOpjUscCivN+QmM0Ao/uvJEGRSEDRZkIiTrGzvqMB/1JxHqx/rX4N4H5P4RBn0XYLlcPVH3ySSIYA7ypuJg3LaD3+3j24T9Q2NZC/ZVGKfmzdW8qzjECiYoOaiwlhEpqJYaeV6fHMdXP4ZXZBD0apnaKDPj4kqZYfTmWvIjw2A9ib8wjfU0HOwOjKDA3cIPpe7pUJSztOxXjMQuLOa4uyubLXWD9kQiNoiPs/0u806flYrt8cbnF8qpLzXJbCK9IXkQoI/QWfcbW3t+CrpjLM5KxEStDj0SR5zU2628hTSmvdgyblbj2j5G6giJq+b1FwrIC5YUVSq7/NkZKmnWjuUe4l98J9zGW/aSpfSzX1PKlTpwMBXKaxEqX/P1szx/F/EMq1pGGO0kh2enrAwJ1BZfgtSznxv0NFHiTseZEJCmBCKPqOwwFKirOup0/NvWjO+DE1dSCJ/kA73IZT0Y9ZqxLcnH+0ISmxEiwJtbvaylczWDjYqkrx4iSCSj5KkqCRPh2vcwdE87iTqOKbK+AL7WCD3U67n39Pr54/gmm7d2G4FHgsk0iGA7zzquvoA/L1bvGvbtZk3YhD274I/2+BCyCl4cQxZyxk8QW3ZppUsYn3t506lUISRqefV02Y0vaXc9LRcs5i3iR8CamSqZ648JVGNx9FJj7UEe3iqQqQRSeiI1Ryo2sX+slPw+6Vcn4dn9HxoEPIeDm3cFYheps1UZeCJ3GqM5G8kuLuORKMUgjhom5CRxsl0XOyeF+SXA5VxvbglJi5XP+gCNoYC5PEfFl4FEp6FLk82rwlOFRbRXxGqBT+BEjXlZLCTRgF/p4LTBbqhxdYjFAXwRxx+n+5RWct0uFNezm6ppn+VN7NB7EAZcO+5DVsbh3I3+1G9hikKtoSnUvGtteSj2Z6D1urjZ8y7fh6XwRmcn7JbM4W7We2zWxNuyF7CNTuxptqY4/7n+OGd7jnWtPBFNcCRa47FN6/Breffl19JiZWhCB+nUw/TrQx1LBhXAA4wjyMoSbGr9F5XyYvnGnkzSpGao+xTL+FmiWv4O2hNHY3UmMmfIsXncPnz/8JK7eXk7+pahtE5hsbyXDMEiZ9fhU5Z29WWhP+TM3L1iBJhzvWeJSKDg3K4NWTfw0VFFvobe6DW+JGoM6RKIhzJRsL3NKN6Mf4aA9BMOkc1GllsEIAvPPUO8t55B3MQql6H1SD5H9JDd1c3FTJgrJGNREuimfz+xyN2dAdGFqdUHGTg5b9lOYtpHGDPkaP5rlwRCJcKUDfq6v4rkjMyXTtwZ3IgVpbSw0t5MuBNhf4qAmx4XZq6Ko1Ux5kwWfNsyn89rwixW/EfjIYmaxx0N6KIxBEPAoFNyclkKtVstW6Vw7cVfrXI+XDbbREDzKTenHb2+KOD2Si8pUy6cD8hhhVEKhTmBgBHkRFyOtrgxyLPI1e8/m3zE6qZpubxKH+sql+3S9PfgWZYBGSZn1f6cDScS/Ccz/IdRqyzCBMbpScdKOnT5MwiBLV3/HzR/FdAhl/xDrwCqS6cWxNsRguhHLSj2GHispOQNYxvaJ7AddQpCgR4svoKUlJZHHLrmay374GOs59ShDIXIP/An70dV8r+lnck5MZOdKPIKxbxTvCUr2j3+NpESZ/U/cdhqGaGTAMyVa3jNFWFXpwDHpyeG/bc2MDr5BA0n1p+FM34ZuMBtn+naIWvkfC0cY9nlUzDYpydNFOOxTcZo6iSDxPg2utN0oUh/mNWRjrEHMpDRMw5e/OvYgAYKVdZx69Ye8vG05bFKx/FNw5HolAtNvScE6ezSGFLnlc+M4JXuKFMxwqDnJFuHVyKWkqVyYwzGfBIUQ5MzuUbgDNvQj7hcrMKPDStb45RL+l9OVDCb+DJVhER9u8lDgloWhqowS0aVefi7xc6hqOO8f2+ga9PHqz6Yx7aIS/rz7UbSmMkwquUZuWZSLYXwKKBV0/lUe+CJjD2M75xa8z9QQ6onlNg0h1HOEcPchTrvwVMoy03Bv62DD9IuYdGo+nz71V5qr5ONWNmMOezr7iOgMOBzxGo/arzYzMZzFD4R4WRMhJ6jCO2KiMAt6Dqpa2KyJEROtoMb3USNBAuh8A9TpM9mSM5anzM+yhliSvEoKnlBTSwG1qgJMnfvI6uvBqImgsZuZZxAnXIF20shSdrJzQM1gwMh9yNkotkEHZRzFjJu5tA2LzBMVLrbqbkKVJ3DUMwpHrZ19nWmSyaVoYDnK6OY0bRVJyhObfIlNuTsYzyLFZgxKUbsUImeghDedaQQtPy0o/JoR2wcGG59rx+EY6OXUCX7mfVXNixMmsq1EpK491OkzKPe2xMjLCVAScPFih4vvjQY0gsBDSXZGa7/nYd9hNFFvlxWqHTyF7KNxIizu3crVrR8zw/nT5GV/pIBxyuM1RM5xV2I9/WFJtGt0uYigxOPxEDnvdZSNm6DsZMl4T1BqUESCKEZsI1WpbqUo8B16VSV5gYNEdBcRKPkKyk+WbhX9g8MERsTysX+mcXs/a1+TM5DEke+je37FDSU7MapPPE70+g205FzImcuHUuhj7c4vqGbybG5MYDrW55e6gZQhNYmHssk2DqCOtidemrMdxVZxPDrx8VHtf5f/LPoDej5tHoda3yC2gkn3hXzdkvC4zxLE6taxd8wM3FaxyiRfx8oaLeGwXHVSqJ00pIh1vRi8SiXPJSbwttXCJc4uOgeSaLJAdUGAhd3ieSIv9Lz6sHTrTuwjoAqze1TsWr7C4eR9ixmfUikRutOzM8kLBvlLVy8XDYngRyDBn4DbMo9g4Avp59/29nO2O8KMtEmogrHqT9B+C4FwM4rwILMcfVxXcxnV5mo+zX4eFQJXJceTYXdQz4v7r8QX1nLntCfZ1j6JVlemdDsWYuVQ0CoZO+d46cG/Cv8mMP8FFM/8E90f3ovRm4Ver8LvaOGte39LgiPedGgkbJ+qsUl9x/KA1HvQgs7Wj6FdIGl/CFeyGBim5ZGrf0NDZg57y0ZLjztV+JRzq22kN53H9oCLtIQ69CofycYBvKl7aEyV/VBGNrn1Fn5J1p5bUKCkxrCPawbX0Lx4+wnfV/rBq7B0TsXecLL0syt1L5EogekZTCTR3M8hn5K3e3VclHIOfuET/t6jY7avkFOKqghGRlieb4XaGemk08FoRczVM/moliL/51QJFokZ5G9+gNYJTzGYvo2M2qWUVjyOpk4sf3+N3ievMkQCY7zmUfp3dBFqbefe5nYezH6L97VX8C7jpBj6+8O/I384HEHGLE0He3qVTA0U8XmODn+oj6MpmRTgJOKPrU5yTQnc36SQ4upFpN0yCc2RqfCN/PtuRS8vCSamJH3EFwMruPTlbSwuT+Vv5y/BFhmAz2+C4sUoRp+FJsUY55FUbZvDnmoXo8OR47JFRNyvGiQy/RJu7HoFjV4c5EZzQa6dVZ88SedRWUi9/Ppfk+nIo7X3Uzqi+4ALAqMJKcJs1FRjUTn4Y7gEychf+roCHOx/B30PhE0W+uyvsVkZ6/ARkROWzxINWq4x+vCFniYz2SlyL45SRiM5UkuuVgjQoYjpNfypOdQYyhC08qfZHZmCSggTUOkxCSF8iS7Clti2ggMb25G7aiy4mbjgTGl1T0IOippVfCCcwkFVKfwgt+uK8SJms5nagwdJ+g88wqsoZbFiM2WpWkb170fnKBXzRNEE/Cz/9ju+W7aMgP6ns9FWjUnG4HgFk72RdU6oHT+ZZtsHJHbKpKlB2Ye81pRRqdUy9piYjyGc5JHJ6YIWccX6T+K6xWNmGcWA2sKifvk6fLNKbrsdiZVJs/khNImL+75lkqqWjZExwwQmhBKfoOEV9Xgeq1nOq7UDLCpPwxCtAonwRDSYR50KBz+HDy6Pm2xbdSk8nvEot1Qn0cMCMrQ/RxXuRKlwoau6B6Z+KT1ujDn2fMawl4nb3iBSuZHfjGqlXqNms0EvxUr0eSIYR9gorGovpnYwmTJrNwcG0rj4BnmrsNflZ/KffmCW6jacGatoHNEdM8Hr57HuHnYGJtMu2GlIT6DGlIZF0LOCHT+5Zf247xJ+rR9yYokitQK6Yk5u3xss3JNq4/ydNsrT5tLYuAch3M5RayWV5ZOZsq8dk7uVDxfL7yekHUtEWYmidxdKTy4KzQBhb660lSgICpRqD0FnBeN0ezmkiyfLDpWK5yb6h8+B4oAszC31h2Ie/0PnwQjyUhAI8pu+AW7tG+C6tBQ2RyNjGjWaOPJS4iihxiaPCz8ffxnPN2YRRCYwfyu+i7/qRnFVwxO8Hh1s9OhZ7GznvUzZBf+SlkdQChqKXeKZLXB+YoDCaPdri9vOC3uvo92dIq4AEa0U79z4Bxz+OHk4JKhgQCbC6gZ5ofTKuqPcsuSf5+D9T+HfBOa/AFPeGMll1Ld/P9btJahfEMVpMfJSV5ZF0eH4AKwTofeQmWBdOoaITBgO5+RK5GUI+d4W1miWsXpWhLDWyPSdAU6d+ldq1/wDlzHejGok3Cn7qVl8nZTqHPNHlZFWdSVhrYOekk+kn429MlHyKN0YIyY0Pjv+qKitbMcf+VX573BHRC3DHK4wXsKRrC42tm7kVPtVKIQ7iShjg7s9KZsqKiQCMxJzWo4gFoSO9o8m5cjl6Fw5aLypuJOqJJvrU2aegrNMTStfow3IF7hWbcf9WTM9WgWHUlLYmpRBW/p4Zu9YTa99H/mjmiXykpd7Pa1NXxOK6hzSEvq4oOV8LBEdWe0K/jy6kJcHjSSJnymoZbQihfMymhlT4COpTTOsD/2gvpvn11dwv+plBGECW8v7WJYpr8QG/Amsa5nNj9Vd3P3pPp7y/g5adsCeNyG5DNIqJD2M9dJy3vjyMI9ulLsRlqHhbgzsIIQdBUWo2GztJ1snk7REhRNNo9gF8giDtR3D5CUzsxTbd1rctJOvykJQdJIWSZA0LT4C2MLpJPozCGgiaKNCXJv6NYKRBkKJUwhZ7awTQ7aisDk8OGxGepWxCk0gMpts47uS2ZlJ7ec8zdesYwZJylo2hMVU3xhCtvgmyrBSQzjaPeEWowJGkBertYuCwl20t5XR1VXIduNiJi64g66KK3G3VvNtdTJdqngxqxhH8lM4kprNqOxcLhlTzJtvvEYfiVSpiyly7JV1VVGsLZ+EumuQ78ZMY2HtPjqTbVxdVMaX22LEvdHUhLUnvlOr1bZL6ugaQsOIbY1r0lPZatCzuakNSzjEZ+oSclVNTPIfv837H+GT1CW8lH0u1+18hfvcx3f+PFxwM09mn04kEkbTIDCp9RluVH/J1wmzeSrvXBq9n6AJisKODrSBr3j4WyPzS1O5/eMDRDQmQloV23r6GXP0B9I+ueK4529QXswdmeNR6vwo9SpU7cliyFH0wGzk43tuZtblv5CUQy/vfY4Me4RJ9dEqVBI0qdVcnpHGQLTy+EyijdVNrWhDSip92VQOyOdbs2kGNzzxGFq9AV8wzLVvipqVCLszKtFYYsLb8kYzf/X38FvhNjZEoi3l4vwdQTI1HAm3wohJkAnmtYFfs4qpzAjvZqZK9nfxXfQx+rIl8NVvYOfL0n2PatJwKQPUaI2cuuJGcN3IsxPPYWe6TKxrc7RYe/5CcLACf8dpCKGR4reQNJkjaFBb96L1mwjqXQjBRG5z9/O12cTHlp8OMmzQaPCj5I0E808KB68ccHJz/wC1YRP5Ch860T/JePxWnDlgZnT/6GECM6t0AbU1u3k99fdogm14zDOk11g02DxMYB7vaGKO969c3PktVeZilvZ9R2XSbFxpO/hrph+NMkJEgBd7dOxvm0DAr8dU9Khk1HSWIQnfqCc5y2rhvi+rONLp4sKpOSxbkM/m5n7+8Z7cRWvQqLhwasz24F+NfxOY/wI00ewmEeoXYhdbOEGg5zdBPk2ei3t3Kn986Sn2LC9j4spYGb/XmoCor0p2DOAf0JBKL5Fot0ZYEcHY0M3CvM1ouk08d+hPrBE7JNpSqc0fRfPU83A+4eJAd5D8y47zzqd4zTM0Tb+fgLldIi/HIqFxCba2OYS0Dvryv0XvLEQVkrUSR/QtTPCUSQSnddLjJNecgzlkoS8sT5DmiAHv/m4evuMvtPQ2k/iOh4bSJDwJ7eQ3uGnIM9JU0kI2MVGe6EhZ0OQZdtcs3rOCQFjOA9J4k/EkVeGt7EQQKrAsWoh5wQI0JZOlqFiF0kSHXsFNFT5GVa7D1O7i5m9jxzrL1EkwSc3nd4lmfmZM6XmUnNGIO3UP5vTNCC0LSAoIPL7XQ8pdeezU/YqXRzjttjT8jUc67VxqUPPLUJgzDr/EhWVdbAuYmZbxNDNGHLdleRskAiPiu8pmXLpKzApxz1iJcsdLcOrfONjm5OS34qtc3xGkiwi1hLnvlArqt1ez3PErDirlCUbMk9Eo5Kh6nWBAo9QxfuZVFLXF9AtjwjnSbQha1JzH6GG9qFj5ERQCTtUudJklhNTxZOMi77t80zkObKMZULr5sfMDFqWeR0TUjdQtRKFIRWdwUZzVgqniAG67wITwanbvPh2vx/LPldvHoDSzlrRiOVvFau0hI/MwRw7P4t5774096BjyciwOhNJJUrjp7NYwQd/ChtnjUbXUU1hYSIayn7ZIEh+GTsOCH5egRSkmr4vkOCWLxy+5WnqONnsqbp0e43dfsFgV5MdkDUe0u2kVBdj/AZrVsaGxVS1P1qd7HuZi1Y887TsDm3UHt0b2coYy3vVaxIWZaRj1c2lNOInvdl8n3XdV4FaKc/p43X4q57/zIqfo1oo9q8PoUCrR+G7mW8sirJ33oQp1U+48dfj38x2buW/QjUaI5Y7ptes43D2fot9/Q8SoJmlGBWb1IIf3b+azvaKYWMYW20RuKbuN+b2H+GXjbJIX56GIevzw7Vzokk0DxbZqXftW3v5jA78o3MwUbYRvMFKoVJIQibBXp+WyzPjtDHH75Bb3OCoaLTxVcAM3KP7B8j8+gS0lVSIvW+p6uegfW1GoHVhGxUS0Iq4ddQe7NlVxrS2N/apY19bwcRdiB+jywB2slwiOAh0B/FGd15vhpcME5o6v+xn91JW4ezq5ulgrdSOlBgSpHuKzT0ZX9xQrjBuZW7uLRbZXaVO6JPIS9uTia5ErRfFQY8x/kmD/NJ4U3uOdYAKVGshxeKkgSInXgTZhOtPmXs2v1/469lchBSG1gNc1iikFP33d3NQ3wGmDbv6syqa2YDQlB7JwSwu3eAKT48phWvc0EhIS+P3k36PT6ihNLGWWvRbv3komTprErdHrM9vdTR6z8GgHGeXp4bA6gw9dU8lNPMo748rISJT9b4aatr9tG0t1pA6tfat0G8JAop1nJskdi2/+fDof7GjmyjkFmHVq5idahglMskVLuu2nnZD/p/FvAvNfgOoEjq6eGWEOnhfBphU9KgZYO/kMgto8Bk029uZu56ZDh7itbBI7R43FbTSx8s4r0Q3I6/+iid3sHkgnMdjPY/o/M0dzEpZDf+GTptE0uhOlUnBJwyHs6e/zhbuBkCd+BXjkszxOTSilW+OQ/ElEAnMsWjensreylUUZbaQIORRueBRFRMMRXSMvpX3CHOdEicAYnIUUrX0KpVGDJjdWThYXqUIggrougP1HP4ORQ3hs4hChkPI4hia6shFiUNGRMqhWSGmuhk4/ydq/0eu/A39kCibnaBysw6uqx984BV2uhYy/PE7ds18TCffh9e3gm0AL5x2K134MYXBLDm6P+D3IrZne3ti2QWfF63SVv42glGvch0VecYJdhfNHP0hE5yGmDIpHsK8UTUItaaY2kg299HiTpAF0c2Q0KvMCjjaMJ6PpXbTbH+MPXxdhiWixRhRE1N20Rzf1vLpurmtfxajGckZ5nkAYUbEKlV2FUP03BKEHhSKZaRmXkD2CvPxn8Y15Cx2h84evakUogKDWsoI15Gl7iIS9qAIBwlotHfTgCHaToE1lfsZNYO6nadqfcWpjFUSlSmBSRgOZVVfzoSFKyiIRKahUfO5AqqwLUHrdaBMj6HQeyss3o9XFizVFEjNl6hdsWH/pcV7RZY0OEvQ9BPRu9tjkFfhZH39CdnIZ75SdxJ/yfHQtu4ygI0yzQs3a9ZvxiinC0fnXr1TzvbcUr9qFJrsNt94IwQgqRw8FnZvZX3EG7yxdxKrWmAu0CCGiQojocNf+DnPZfSiiVZwxzoc4vbcHo0IczGVtRVskBV/nTOqFDP4cEj8DOJ2L+BWL8JXXcUHgM7AXwIGPpK2mKtHNWdhOj/FyLhv9oLQFszI8k6QsC9eveY+r7F9Iotch/MNm5Sl7Asv7OwgNPoVGap2BlcYdrPCo2KPT8qHVgncEeRlCVukempvmcsr0NZyrlislY5qcGCMB1iRO5bIxf+GxTY3cv9tEW2gKTcuzyYmSF2dPF2v3aUjtz5NMNfMNfeQmO3GktPKk2szbNlmc+ZbVglOpxhc95sqIkhS/jk6DvHWmtadjD19IKkpeLr6e518Xt3AOcu5oGzsP1aMxt6LPiW31nJl/OTMSL+IX7+wDe7yvj1ZSZmmkrckycfv86EgyI587Jc4ajiSMJhCBH0MTCGhUfNExmtxDr0fr30qpomjR9JKjM7CXIO6cKnKrZZdbc9jLBa2v8r6mBnfQjveE5AX0WW+i0rdzwPs0VY40JlQlM1HKUerl4+zzGRzoRlftQhWp5373JXR53meVV8+MKjt1WW42jR0R+DkCakGQsoQeV8/mBa0NRd9YLvxmFSpqSOy1k2i1Yw8k0m6Ux+8JPeNJVIS46MzTSc0vJBQapKPjCxISD7Bk4lt43XU8kn8foa9/xctF00noL+Zg2zSeH/02MzN3shx5W/BEmFB+Ld8fPN5Fd0tvG96QV8qPSrPq+eXiGMFURnOhROQknrjV+l+FfxOY/wKObZ/1VUQYuDzMngEN63vVFOTIZlPNaSnkdof4cPIiHv71LaxbGwtYM6mMhKIbGKkpg5LA3BfWMK9Si+3Q03zdViyRl5FI2npYUtGoFBES68P0F6hw7M/B02nkiDKbMn06nd5YaVN9WI1HoaGj3UZf1EthW/fXLMq4mG3tX2PVJmNPKqZJqOezpAFOG5gvu84K0JReR39vGxNbEqgqcJIRkp1sB748So/9c7rHvz88sDijkfBDKLT8Dlf7YSoL1+PRJ5A5MIbBUA+O0DXDj7G0TMOQtgZVwELPC/tQ5RvZefRN2kL7CDjlKo7pBNIDc4IS10AE54D4y2j4o9qKJxifizNEXk4Ed+coTGmHUEcj7E/8oDTG7D+LpvGf4k08wrMpT/FByyI+Cc9nu+M6Ulwqis+LpqS7djAt6QIKDy5Gh4L51s9IMuyRSF8iLuqMCRQe/hq/ohxVyTgm2SbSuL8a/d4JtPOCtEVnVoFOEW/X/Z89F091zWaN5gAqQckURTFJpm/x+D8miw6UUQGkwucSZxwieiP9/k4MCSFC+n46K14jPIK8DEGdfhjrIYP0nEnpNQR7BUKdAzKRVWskIpNfVkXa2OPbf/ur7SSWxybdgoLdeLxWOjuKUQpKLvHPRZcmnzN69V8Z8DSQWN2LNhiUjsOXfzwDU0YaBwY9sPMI1XmFXBiGirKFzKuRr6GIX8AhGCBoIOLuRtnjQ7tL7iE7ajFg2LEbnXWl1BY9BE/jNUQCSQgRLQhaPA3XoUv7Gn/HGWzxK9hCCiaWMEP3LXWRTAaO/m74b6e5mnj016cx7x/7JNO50zufBVsKjL+QyiNfcEtarGqQ1PYbKhUqfl1xNfdvfwxL/V6Mil5pi0Q8frsNorw5xCsJMlldmRhv3X/AWM/S3MyoSaxC6nZ5vqObcX4/zybaeDnBRkFkPafNbmCqImbFX1dgkgzUrq24l0znIIcilSSGzDwdKGdaZSuzZ+RIidaf/+1BakzFfJf6EKcpN3Or+gUuKRC/j/jqXdeIapQI98BpODqnodR1scS+joWuBQiGPq5FxUeCwGFSKVV1Y67bwQItHDIdGs4XnJY+jfGWc2XyMgKjBqvZN3cm1YdOl36uTFlM2YybhwlMhyC/pxsaXkQthFnQu56Xc6/AqzLyeHAuBeOb0e4xEHBqJXO33fbRlIbWMzXcxJckYPQd5vvwJPYZSsnwN/GxW4FDmIq/U/YwMRv9OOwmEvp3YIooOS+whQ2DXSztgA19Bezsy46j3t0tsSre7q+Hup+yGNp0LWkxU5floiPJT/GAgt9qpvBhdQN+dYTG0j76Dt+IKRRgeZdIXGLPleHuw9w8hZtWLOe3NbdyetPpGLo6CPW08+4fbuXUP5xLQ1ssj0qrFW8/omvcgH5CQEx0Y1rmbq4c/dPC5v3dFWSaezh90ccoNHb+OiL80e7NRWMP0ultZ0fHDuZlH+/aLuL1q6bxzOoa/nL2sUnC/1r8m8D8N6LvWnmy9KPivjkPk5g4nw17a3EZlCS4I3gjAs6oU+4QtGmFhHrlQV6vDqNTgj8iGq/uZ3dvliSIG8LJmdV80xaTFp6ceZjiln52+GfjOiju6e5jb/tWDquqCHb0U5Gjw9ump2bt8Qpyd8jBl83PS//v8jWBczdn1mfy4+RuPAofimBQ/r28s8F4bIzuTGVZinyJ+oNtdJW9f8IIRZOplML8W1FtSac9/AnebHFC6aW/bzKKEeRlCLm75BVAd6Ce1WuG2kzjfSFEWEtceHt0FFsTGaf8BV+5XpA+h4iFSWeRbCnmi6Zn/+l35OkupvfQyRhSauivWUzJ6fExB4qwBsVAMZGkQ3Q7cziz6gBK7qZ7YDHeRNCb1cygiTyHHoO1j5y58ZEHp+SJwX5yt8su14X42wb5WcEutKowFTYnXYEHOOQdjWlvGLtQS5ZiBo0RgUqvgfEGlTRxpxyTQL7aGZQIq3ivWgFZ6hAlBgMtgXrqlAJpwTzKoyFyC4Njhv/O6zgDlWI+XQyiwMPkJDfbfYcIWcFWWErmGCsNGjFZOCrK89mJqD2iTSsFmx+kYcYfCeuceBNqWJzajDdvM5GIgncsv6Zo6xpMfQ1kregiKeP4ts7ELdeR5ymlsfy3w/dl58gj5VQySWhYgW6E+6gveDGXG66jAyv3TvgZ3+XPQGj2c1EG5Bviy2Y95piw8BShgg8JSwZvoa4KtF2xAMnQoHwsfAMXoS75C5GAHU/T1RAxcCFanOVWvvD5UDfk4m28QXrsJMUR7tG8yUfhecz1PymZ4g3htGIbT18tP+5now/wi/pHMHh7wNsBb5+LWaOOm+wVQkDsnufRA0/zmjbME6pBxodkrfUN6YVsM5yYXP+u5So+St5I0HqIq5P9dIWU/L1bx6XOQSb7/RL5sVjTeSCzF4tKJN/xlVavQcVu21QWVO0lwSOT0n6liyxlP1uPKti7dRtfPnc/B21T2WKfQYGqjUFNiIszj9/WE4WrYujiEAZSbkfwZKPGw1OpRVR1dVGljpkFiluuMzTxWqYSpyw+vTDvEg7Wz+TWNbEZUwquFCI4x6cRSTPyC+XdXNH2OS9P+jUv5o8jZM2lHxtun4EMXzs+awZmR4s07qT6u5g3eStTcuTtDEuOm7f230lobBb7/Ue4sGo9BUEfIVcxa5qvRnLHGdpRj5fn8V34VrJ6eiWt7daeXDb35DGXFMn78/hNwv8cFu5OobHQScURK9uELnKjLLqkVVxcyuLbE2Fx7WEqX6ynbJQNQ80uzJowljI3xhRvHHkZCb36xALzkej22qnxXs3U0adTnGrBYDhev/NY69V8UbKLT1s+Z0/XHuZmzkUxouIyhPmlKdLtfxv/JjD/TVBaraCV9y7/OP95UpPmUeeRKysuvRK7T1Z7dwTiBy1tyXJM6tWYM3x406/D3NyO39XPx82yqZeIaalnkpH1IoXe7mECIwbpPjjjFgq9LZiSm5gU0gzHl3jF1mGvmv1vxJJ1h7A441JqnLtoErNRjoFYdZl8OIGa8tXs29t8XOeM2uXHZesjQZtCJJjI7aGX+KVmD/XhPOYr5aA+EW73ESqrrpWM9EQ4m01Somq3sJFJ4VkYVfLWm6AIMWiqZV/THvo83fiCx7caKzUl+IydjFm8D6vZSNYPZ6JqCUIu6FTGYQKTYimRBsJkfRadexpIm9gbV2nx9hagUIYYrCyjTVmBvSN2fEUE3XYGdl3FzJCsBxI1KxM1t9MenMAPjl+h0x4kq2AbzUYj3QNXkj/vCUzpsYHY70xHZ+1Aa+lCa6sh4CjGFUnGLxThClViYCxHfXezdlD8/iMIQphIMIxS7UChNBP2H8IpChR1suqmMxihyhtm8BjDYSHipbvvAzr0iXR6G/BZU1Bpf1pEFxESiCAf72IrqHxmfqQZnd1Bk/6NOIdW99E52JtKSDdkSy7Kxv4yBtN30Dz14dj3oRS4KnUt3rGLUc149PhzyGuhYOMjaMSqiEhkVt/GAe3bZM2Jdee48r9H7UlG4c5D5446GiqyGAyV8H2CmdHBncxs2s2uzxZyatp5GJPjPS36TFaUyiAVo9cSMn3M9IPnsaXrxNEV8kHT4Wm+nIhX3tMX6dDP0BH6fjUdY4tIVFbzsvaxuD+ZoKxjYWQc5sq91Dga6Zu0jMsvvhrq18P+97lXzJuKxLvA5gVDLHF7aNSoqTkmX6tHreLSzHS2NzRzR9IYthliW6KzO0+nXeujPvE7yXjvA3c+Xushbkr2Y1KBRRVhkSnImU1uibxsLziX/Jx4U0KDJ0zx9iS2jtZgSunmgM1IVpM8HulNZnxuFyXWNjoN33PV/iqCiwPgsJOn3USPoTuqupDJWmYY2hQGfN2L0CtMkCovKtTF7xAMhFlUJDCtYyc7u93/LAR+GGJEx8K2c1hZm8zR6DErTTMzbVkhqzvamBD5jDOVH7FFmMMn7iv5evx8yQYrb9MRVl21kbFWM+f+7FpsQSc7EiczHzG6ROCc8asZnRPLB9OaQoRn9pDMIeo1o6RurXsGf4/X8c87ZB5R/50sRS+OgI6X6k7sSoxGy6QrruS9lY8R0IQZUy+TaIcxjO2YIN61E7pZsDcFXVBF6eHEkVm3P4kug5mNmUWcXTdUWQwwfa8VW6GTgpOO12yFI0pUygjdVYmkjI6dh4FBNVpL7BX3vliONceFUqwktgxSMb6VhSfb0BljJcm7pt/Fe9XvcV/zDSQFjZQp5Z2DvVXbaft8C6bJaVhPLWAwOIhaqcaoNkoV33AkjGqotPu/hH8TmP8isp54nI77HyDrb48heim5XNWk2OWk2DStvMIMaBRsKpXpQLsvwGSrkV1OD4UGLdozZmFb5UVNmMFAAmargl5X7IQssM/ijpMmctTyIpe3fU5atWy33WNJZmXKXDRCmKf5OYp/ciJV2GbS6D7I9LFnkTyQxmCwb5jAHJ13CoXr5eh2EYkuLYd3HhgmL0FrGnkZVtoOR/OR3Icx6lLQhVV8Idm5TCWi8lFzAuf9cFDB0W9zcLfHqin9ujc5JePnoFZxIOsxDq07/n03ZBXRlp7D+Jo27MqlZJevR7nrPHQhO3qxRBWdr3NN5fT529GrTNIF5dn2AmZNH4e9KQQ7swgI52JMO8RA3Txxv4Ox2kFsfasIZOWxIWJktk9D4MgytKXf0bnnIgKdZRwIbyZBk0Ka/mO2es+k3j9dei2hXxYdG+yNFK64G40pRpBe3nMls2tmkT3nKcyZlehtX6DouxC/KptS+5l4hEvo9AlscckDiyCECLq+IBISy1vi55dJxCCifboMb2g3Scp2ZucPYJ9zFm+90kc4cJBwoAYED20e+fXVg5302kTiF28mZVO/iCN0bdx9giJMrq6QvKwfyC3YLnUg6Jx5BA3d6C0ZLPrFo3j39dL3nqxfspfOZNAZs3e3dEyVCE0gbTeqtN3D92sa1eRuuxtSE6XqjTpKXkSkhkYznz9QO6IPTtyq6p3wIl1BBXWflDBJex5ZphL29J9Mt19+XvHTZdSt5cMbV7Iw+Sz4mSye1gh+3mr/M6E5svBUnNCvnvA6e36swBeWX1ebtIZA/0yIxCh4xCunHy8TrfhVPxLub6dv307eTu/BMCJBfSTmap7jSP41ZFY6GK3fi+GFmeAckQmktrNefwFLXHIlc19fBotabIxN6+K0UpnAJIfCEnkRIW6bPWO8gSs6p0P4S9JCdpa6xlE74R+kWlqpdyTzenspiZnbuLnix7j3sjwxxNFpVmrUYh0unrwovBGKdod5IPwr0n1vMINudNZeWo2tzM5bwdwZ4/nt57+lzlYn1byGP62tUjQvjsPaxhaS8udTvfQN7v7sALctK6Xak8eY5DG0eRL5eM0B8pq2MjCCuHQZO0j1HO9V8mnep5Q5J1Lel89GSuiMyONAktiUMz6JtzuauJffk60UCQnMYT02p4bnvJfjjFYHflHdxtTdh2i2l6HJ9DEwJpu9O6ayyPYjuQWyxmRL20JSM3spYj/XIH8Xg2oz10duZn9EJC8CxQniXpSC2oFCrEEHLilHSMUvlJ+S0dfAF4FR1Iyodo/MixLhTc1h3aZdbB7XK6WpKwUFDubQaOllXlstrSk+KepgUB+myvVLFvBe3HOZVAGpBd4fHjHlKgTCxSZOO+dnfN63mjMCq0m3h+nYlYJaH6Lo5GYMScd3uh18t4iAU4NKF5ac2y2ZbvSJAQZbjTSvzaD49EZUphAvNc9gvimCs0n8suRKXMO+3Wz56B3mX/ZzIkJE6iQttBXy2Zmf0fv2IbytPWSt00IBVAdraRRaMGzv4a+hu6gUA3/F6kv2fHIsOXxW+xm/n/57Tis6jf8t/JvA/BdhXb4cy7Jl0gQqXp6JibG+FbNahV6hwCcI1KXLZObC/TGToaPeAKMJwPzVnNn1Iw80Z2DJ6oA2+UQR8fc5UzlqkQfANzLPoGh5KYs2fcM3i86V7gsqVPgEPZpUcSiKbT3kmMppdssX+OjEOSx74nZ8tQP0vVNNStQKXMQ9K05inbef2r27cJqCpAzElvyJ5w2i1bsxGvvYlH4Fs9etpsNbzxghXninDMcmCpXfKm07nIi8iPD4PVQObKV6YAfUHk9ePll+KXX55ZzR2s7k1ik0+CN0HZbN1RoIo1PEtlhKrVNRK3Wk6XNRJehQGpxYevrAnk5PYxCldi+uNg+a8CekKiPsE/oI4MPe8y1npF9AqlJJXsO5hDsXcrg9SZoMi23zJD+UtYO34BdinyvoTiEcMKLSeuLIyysHLuaK7tnUIuDtLZIITFmejWB3Hnu9YRqDWnqcQUSbmUi4HwL7EIKHiYSH7JFjFRBXKEZcGwZq6fQ10qbMoKBjkJD7fSKR2Hfzs8ee46M//QFXfx9+oZaNg2MlV80Kgwp3xMk+ZRLlKi+6sBgSaaPP+j1tKS9KmqCheo1BW0qx90E0dgOWKeK9SrR5MfGwLX0CjJAUpR+4Bk9CDWF9bMso+cj5JDYtQZmgFS1ohrHG14NGa2aOUi9VtNTeJEKGXnSDOfgt8paDSiOQPKGTrt3NEoHRqUSSKLbbxmbHfrOe/qhYvlyo4m7uIXSCGIrpGbtY1zIHU8kD+LuWyuRFESTNup9Oh1idUZBDJ3/XR7tFUiFFvoSOQ+/EX5C051m0yhpGJ91J0uwSMrTVccdChMd7DrauCtYFCyizjcIbmc5R13oGQ8lck1rJen0af2sdz11pnXRq3fy97m400SH39vafEZ7gojb1JvGtSCiw9XCvLdaB4g4rebMqkevHDoh7m4Ql8iIjofEkElrnU1XwPo8JNQRM03CmvkOBtk3axjHYOtma5uBo214eW+uT0smPhTls5LLuU6ky1rHeuouJTjtKXTGDqfdSajfx4fXydvE0Lqdm+0Ein/9Inibeb2lTYRodwsfYgzbern2I9eqDHFG302BuIBQ202CqYHv76GFjcVW5kVLvUVp6A/zB9hzZapm8DGHs2B+Z48rjG2R35hqvn2CKnqwcE5eZXkVLgPq5BeRGdSNvHzqXH5vnUZLWxZ2qmOeUReXClN3DjdaXmZwWrWqI20NbUzDuT8aoC+O1pSJ09bJ9+IqQEbTa8aXniip2+TgZDYS8sbwjQQnbK/q5LvtnPL75K1ZNl7VL7Tox7f1MIlLGTAxjbB0sTpeJ79quAhrMFsYvXcCA8iOUSj9t/buYqoiWBidB+qTY+DKETk8ydlU/R7/MlXQ+IsKibbTYvPFpvtQ7IZIZEY3rJ/PJhAP0qqs5r2AFTZXxKfb7f1zJG/aN7OiNxTE8v+R5xibL80KeLxN1RI1L5eG6omiu0wh53LoWseNTxn1b7mNu1lwS9P+JzLD/AfybwPw34ERZOENQi7OhuBH+H+Cz1MVM7vDS3FYzPNb8cPaN7EtNIUWrpju69VSXP0q6qSICmZ4IbUYl25lJhnkDBcnLaOmr5vKHnibS6ObbH/+AOrWWmoqrCLbfQOHY35J4bgkpGSZK3j9AwOslJa+Ac265ndw1e5i660lS9siT096KaXyfdDpmwYlLYSUho4fZrKY/0ElYCKMS97Ci7btxn787C6F9GkebOnH3yO85oNFjN2pxOeQZQCIvI/Dj7FPwa/WM7qvlscYsNglvsse3HOMJDusuT5g0TUTSCSm8PSizJuFXK/Fr1DTl3YqQ4wWHvAqLBOQqkzh2No+QHvX52xjjayHDWEiEIFpvOjZViIGwwCFfmFYpUVwmLzZlBytsD9GZXEi3N5WQVhYFuVvm8ti+ZdzXVE1xkZpEY4SaPnmLwmerJ1kUq4jvIdRGv3cLguBGCI9sj1Sg1BQRCcoDm9lqZrpJPC5yUq43SnCcne3sez8W/CZi9PwlUrJu3vhJVK39AWHgB7otaSjVKTT6egkMvgWCnxrlc4xaPJoxJ4+jtfq5445l8q6LCLS7COxz4f6uB22uheSfjSEwx8pbuz5D8aqfWXLhg7SDl6OMaFGFTISjVuZ5W+5FPyhXNkRsxkdmz06ygmamac2Y9LEVbd62uwkaegkYO+gY+4/h+xPznbRulwmNXZ/GkmWVdKTpCPnUtG5Ow9Otp3vMM7zjCCGIabwjzok9B2YQMKiZXrSRyan7JAKT3DWfCY6Z/BYtu1Vvs8S/mfmqcfSGNfxeI8dndAk22oRk1kbGc6XqOxS9KbjN91CffojB8rEsW7IC9shaKrE7SSIvIzAYOhO1og1X+CQyjEYiwpPS6jrXDLlmeSvL1PUt50dGERLyeSgmEZEgIMds9Kb+tA5CROf3mZzZNQ516VZC+vhayfu1p3BzOIHyql8wWHI7weSd0vKlNaAkJIBZJWBXCXTZ4xMwx/SN5mT3DCZ5yrBF5CrH6f0LsAfHkjGgwBmcjGqtE+fmrSgnJNLR24m/w8WhQBONmphQ25tQyuvjK1CEB0huhT6Ng251P7NCZaxJrmat5RyoUeAe8YVpUxX8Rvk8hcV7UUUjAYJBLc1NY3F7bIwdKzt0X2J+hYXCSl7lWqqp4OSkD5iN3EEkoiBqWvk+l/Bj50wURKhzFw9vWQ/h7JJYZVmEOBRPKHZyZH8SHr8KRuilhuDJKSE8QmO1NlDEQrF1vC7mfD4Ed9Uawl65Miui0XUhqI3U6S7hgrTbGN1/CHW6jQXGrQT1CiorLCgsTslM08nbI5ab/xz31S6h6ejpTO/fzrSBGOkQMfXnN7HjZdnp2ZtdREStwaXRkddhoj11K0ZRVB41eZ578c/Y8N4bBH0+Wg90MsIiiuf2PsfTyY/xJQF6EFD608EQTy5PBH/Yz3uH3+P68bFU938l/k1g/ofxU9Tm2VG5/OJQvNjt7nEGZvnNzI4KZ/ekZpKsUfPJhGKe3lbPB9EMlAWdQW457Gf7tCQexM9aFjFNv4XJD93OJIUardbDwd7fk74gVuZvaHweu30uiVPkLZHTfxPvABpWa2hLFScceXL6YY68AhLJi4gBWxIRMRwu5GMg0IVVk8TWri/oCnYyP+VMIhtW0GvaQ+cuDaGIvDpSK7TMTz9f0qWIE9eBhfdS81ksDdmv0fHW2dfTlyiLwR5aX0CmDw625LLRE0CpjDD9mJh5v9gZFYgSQk2SqECO/kbuJFIo/7mttfi+ncFeaQtNJDC+zS9inHUziSqFRGBk8gJaBUz01mOs/hjPrAex9kboLv/z8POM3bmYF77/M8rEPChaQqZWSWqoCNFhJmjsRq3pxu/4BCFy4vbvzGCArKbD7MiViWBRfQujZzexs3+HpFtxBo83s5pz0RW0HT7I/Mvk6LTM0nKJwIiamsDgm9FHCdjyXVJ5OXeBKO6spLr6veO8gkrWPIMyuuUinwACgXonP/71EzaFohXAsJb+/nSSkwdRdo/miLKNpNrF9Ex4A32tjYEBIxFNv2TD3psc5OBgFXW5ClZ06Ei2Fse9pDqQIN988upUEdaiChoJ6QdQlRyifvRdBCR3VrFGEUFtCFB0SmzmH1oCKH1KippcNBxYgNeYji5ZJskliUdZoK0h328grN9BhPc4lXbpuaYJu/mW6Xwdmc1r4WVsi8SciXeqp3Hd9Cx+W6UmodZE+d6V1K9ez/XHdId6wvMJCRm0eboxa2WfmSEoFfJUFFH6cScdwNhXgTu8IkpUPpW2WJNrz8GdvI+a7O8wJce2ocQIj5ydd9Cnr2dwYszY7vBHBSR4Kpiddhad/X0MZsgeHWlVP6P9aBYNOg19igD2iJ58dxlHTEdQKIN4neNoC+4gVxshTxuhz6uUOsjK23OY7JvFRX55e/tYXNk1RfIjUkWn1VAgxP5dO9mliVaMo8VScetk5YSlHE2Qzx1BGZvsDxsamD04Ab9noWhsE/f807VHOT3jc9LT4is4ByqX4HKJXXfxi7xM2riLEb5B0siUQMKIHKAvFGejNXWjCAQQtjrZPX4cY1OqeHL39dw65cRifmOKnwnXVVP7RS6uaHV4zkWXs/bzTwkmpEjk5UgoGbPCT0PELt1erQrw7Mmn4O9ppv5oPbtTdlPSNROvu51szLQ13CAFhhIxYsXF8sDD1Biz2WmcwFLNYdrTtdSV/cd2+92eJFKMMVL1dt18dmh3EFGJFZTT2Z4wBZfKzIpiM6Fd33Hm7fcgWBPZkJEH4TAhS6zyk+XOwhQ0kbpkGt6uXgqnz+T2hr3kGksZ7aom6eh86iJGFEo/gqBke5uCyY7YfKEPWeNG3hmD4/hV+yVUGmt4MPsl6b7FwQV0u/uYZzpxp9K/Av8mMP9C2FxhBs0qfphaRplJz75BL2a1kmKjnhsPyt4Pu8bNoqC5huoiWWT64YQiSkx67s1KxbyhluXtIQrdETSZJoyzc3lwVw1tihxu4QXYJQ8OZcJBfs/+477clta3SEyUCcwQRMdP90A/l/h6+Tg5k3UTtuC15CEco6lJqm5hQJOGPdTID21vRDN+5UHnx/a3oo0Q4gUU0xNMTjpJIi8iFN40vko5i7JoSvLB4nF8veR86f+ntNZzle4VMry3sZ4gP3rkya9RIRIYGeOzf6Sqeykh//Fhbv8MOqMJe1Y2QbePhEE72aZS1na8T7unDu+BDwl3HcC39y306kTIXjr8dxMMKtJtpQhJt6DQGCRnUF1HKqECeYD5f9o7CzC5qvMPv+M+u7Pult1NNu4OSSAQgjsUKRRKi7VQ6qWlpQIUChVcirRAcbdgIe6ebGTdXWbH9f6fc2d3ZzfZQGhT5N/7Ps9mM7p3ztx7znc++X3+92+Tf3tNdYP1UuuTVWS7M2X9nU+C9yL173CHUmKfhjPYwXjJgbbnFeYGhGYIJPoCsht4uuNWvjntUUreTMLgD6INxjRVXjnpYuYtXMpZZ543+F5ZJUPF7mMx9byFzSSVHhTrEMfZbqT+vVkcN2Eilq4JsjdF/hxjDRjL43H2gr50NqqbCRlj4ay9u48jn0TcYR+l0UxM7YvQvtlJY7KdDyxD+vf0/8mAJLEp2c/SYWklYSK9B9BYIiQddyzRNX9AHdHTUfKyvDBnzm4dGn36VDbtPoUVQven37nj9UqEwzr02hDj7FV43MlyZcuTnC/3HiuhlqDaIn9/b0WGJ2hqRFjG0co/XRVk9zmY3xUrRfbUwSuWcSzNbsOkiRmSW7s0bOluZ1bqqViH5OeK+qfmhErMSfvk/mFBWyPqsBG9Jwt/Qjxc3FOwbMTaupRd3+X1nc9j0lg4xngJ2kAiwY5ERtvjHgXzrpPpCjTybsdZNPWMYZshwnn4OCD52YaFrY2XykJx5oIHCLSdSkPeFtmAmebU0yWlc1vtdSRHh5dGD/ARIY5Hh0slEoQlPKoAZknP64ZDa29qg/l4yhIHjZesqibCHUFUWRLjTRE2W+r4mWsU9MXmjinZXqYnvUSZo5YE0dviIDo68vqNF4EKv9+M0TiypEFFZCztu8awaFYrwcBaau2X8tOUDO7e04O6J3b2PLrrm5i0PsoOSq4WxqAw6NMmdWHPi3k2i0+vZ8ejYzjvV3eQO3YC726PJ+SvCxfIydRDWdGu5/uzZ7Jz506yvFkYorHKuMX6CoJRNetNs6n2hejDSp9kRU00dizjl1OVeqjxog1H+bBpEZrkG3lj616iUgR30MwJ+Z9wbumb/G3bVexT1ZGWcAy92lWDOTknnn0m1y8WmiyxajjRG00YXkNJT0+nra2NHE8OD+x/lJRpc/jRh2KunoTOuE82YDL8bYT7Yi0GhiK8WaqBOFk//2i8nRSXXZ7zj3FN5fK2M9irayDBmYRDlULYeyRpyv8dFAPmC6S4JUR0qpWx/X1GflsSD+YPGDABg4m2sy9nS38Io6z/uYn5CVz7ROxCTb58HIaiBJKHxMSHsl81lhXSIr47aippaUvp6Hifisrb6Oz8mPLVH5KWX0JKbj771qzg7b/dJb8mExVzyizsLvSS3lfJt17/G68cfwnJ7g4m7NiCus1PiyGNJF/sOAeMl5FI0KfKvT+yk8fKeRGVVjUXzhNT97mcWKZl/P5tbJx8DPo6N5P3uSFnI/6x5TRPvJ+OnbHE0003L+bNlbX43uzvUdJbRXKWhbaa2EqZPN7Bhk431rCYPI3oJTeq3jepaRl+MV3393+hUqvpal+N675eQvhQtUgEoj6c9ctZPm8Rj5x1ETa/nis/jBkLuS0vkVEsLm6TbLyEgy4aA3UY95+O2RDCuEwYMR7IyyJ8aTbtDbX0NHQQba2jzebGYQWjI4CrwYpOm8kkx1ycgVryLGWDBp0UDuDe8xaJQ8QIK99KQ2uOcIdvC5I5CdeqZXRZjDRn51CVP4ZXW7qYmWBB3R+yS8qJK/NqzSEKT2zCkn5oJZfIQ2xen4bf146tI16tU6VuY03VPs5lDpGoyNdSY1KrmOAbS+a2J9GMXUSaYfSh36/hfFYGN4PKKbsYxa48OqTUtknTTfuqP5E2cQJpP/4p+lyRYLxIfqxx3x6it72GKl006Cwe9CwMoHdn07Q+iaRJ+9Ckxqyghp2FhK0JRCUtXlm0MI6poRJ3l53E9C60jjoYXBCFnqno95OMTrQ5OIj52euGaWV0hBw0rY0notZ4kljdcTbjEvPQqypp8vdyTsFphHUuPPbdhIyd1KdtgaT9GDTBfv9fjKjWP8x4GQlb60wydl9JQ39SsAgZGutnY1INN3rrjPBUw1aqPOfwrYvP4JevxUqGV9ptPN8nzp3YnCCFE/DWXiP/bmg7DmzvM36Um+nOVKxtfvl0HeBJAjQSxYvEBnxEdI3UC0NNOrzbOKS2cPuPz+et/XvZ0d6Dz2BG29LODyc9TIY1ds6FHG+x3j2aRncW55Z+yNKCQwXU7LZLSUg4i40b/0xTUzbjx49n7969RCIRtNqfs6LmfSYkVJGUFK9aCxtKyO7+Dq19W/C6z2XSpPNYlHYSEUnDWuNOBgLSwaies1R7mKuy0LwxlcwZHVS+mYevKzaXTjxrDN7w+/Fz4KpFPFGlYevyNWjCGUzQtlIbcXDZ3EK5I/qOBieLxqRy6d838u7uViKRKCpJjzaiZXkon0X6KjqM2bzdmyV0JQbf94RiK46O95k56V0cxrgHduKePi73/5R7Ig8z2t/Jm6EUVuzfKbfFOGVCJnefPwmD9gz2t9xApO5Vws3ZtPjVmLLBkP4KY/VX8N0FwytLbbZ48v6iRYvIzs6mp6eHt99+m8LuKawsr6GtI14e32KI/T892I5aVEL2pwLkq1oxEuRR/V/k2f2X+u+wjd1YpRLGX3Uc7lVNGMY6+Pjpd3F5teSILF/xWZNmMmH88IrOLxLFgPkvc1FWMg83dJDXHiLRG2XfQWXUAyxuDfFhho4TW0L8sExPy4ZtzOlugkWT5cfVRi32xXmEewMYSx1ybf6nxVA3Wq7ltvyYyFBu7hXU1j1MKNTFyhdvw9N6qHqi8Kccl13MbvYgJdv50Vm/4WSPkZseeofS5tjupHZIya1g2iln0l5TRUP5rsHqocbsIu7tmCrfTrpiIn/85AAP58edkR/OP40Vs5cwN2hm3ZZGuU/1OF9s0QlaWslGzTElKaTaDFw4J58n+g2YoLuN475fyHuPVzBtaQG509P4wcqd5LdVMWPNo9R2CgHW2Ols1gRJLihhziXX0N27lu3bL5Pn5u3zjuVB9fe5aTf4dXAgI4mPJ0+ksG4vU3ZvIBpZilrjwPHdIgKbmzF6R9Hlb+bDlv7wTCcsDFyCJi+bNepXGFN4Lhk7/awToTShpSMSXXvEzswlGzBzUk8jzxoLV/grN6DSuwioNOjy5qC2pLJ/6kK6e3ZjCEWY0NwNbgi5tfjeiOdGJHv8JB+oZPm1F8m3f/Ota7jxiotISk1BrdYw+dSZSJlP0R/FkCkq/AGNDS9Tu2YC7durUOtEwpCYZMqp9tRTZMljvfYAe9QNmDx5LHeLbz/KNAtk6jRMNRlhysgxbafKS4Jk5rTgdHpUbgKESZFsbNBWMD6SxyrdXlrVvTTYJMq++41+4wUi4TAfPHqfHPIqVPUyZl81polxufvw9ukUhBcRcBrYUPUyda5ZFC+sxOVKprZ3qhzZVPvcqNU+uSu34Izou2SlNOLxRajBQqZjL+MaIqxlxrBjdqji5kWuuptv5zxJzpj+OO3AOI/toW1ripx7I79Gn06RbRKiDaePVCZM3EiH9SWcWasHk5hHahXp9idgHbJoeTsKMKfG/1bz+lQ0xigdVZeDQcfWnq0EVEamn34VlnAOy8rbKERNcX/MpuO4HN5/5zh0ahWvbYuX07bIxstwdCRxz/mjWfNJvJWFyMdqmfgweetuoUndwy8kiRopduSj1J18Q1/DYCB7iOGiklTsCqfTkVDKY+cWofW7ee66i4lGwsjNEbKhbHEVBrkJaf/f14S5uOxFdCErhWnxhNoBKitmcs4515OSkkJp6ZOD94dCITQaDWq1mmt+ZuNi42b0mhBzZ6zHbNMwc/br7N69j6c3NPDiShXX6sYwuWoTH3zwAfawjZk9LsIqLdkpGkrbe6nsFkZxMqbeBSw4dynlH37E2CVLebPbzzjdCoza2Ni937yJx3eX9X/0HDqjFvp0STy0dAxGnYYzJmcTEo1YtWpc/jAvb2tGw3h5mMJoeN5vxScmkn5uXFzCDceX4HLtYvuOZYRCsfOgor2YBeWN3By+lD3RMnbrRjNa086fdA/j0+q5N3wWN530C7S62Hc+JquQi8aewy/275Y9a/LYOjZR03DG4OZlALVo5XDjjfIYpqbGPDHvba3iSX//NdAeWz8Ep82I8Pul5/HUdW+B101WuIMJRZlc3/kbxklx5XTBX9QrmF5zHaFIKo3eDtJOyuLV116jQhdvwzI1VEh2k4W+j+pIOCGeC/dFohgw/2V+VpiJvdZLdE0j1Rk62oIhopJ0yIl4y24/07ojLG0OkXJMHicvfxmDZbjD2b44njA2wE9zkvljYxcXSv9kKW8RsR3Lt93XsdsbpckfJFOvoa26kuYDEisKL2TdiXNZ8OF75DX3x6JFB7so6M1mjjnhPP624nW6I15eiBpolQK0m1LxqY2Yon4K+r0vgoJJU5lz7kWEgwE2vPoCU5eezmM+FZvbutHk5GCKSlzj7GJZv/EiQmY/KsiQPQh73D7m2My8kengpPGZvL0tAfwPyuW8Y0w65p87kWCji54ndpOg6qE70I5f7SVJW89Fv5lN0O9j1d//xo8+EvkfomVS/DQusnaxIK2GJP0GeOFpWtIMtJaU8ivNHXj1sd1tQ2YBqZ11tDhsLF791uBrgzyBWmuhdlUyJkuYps5qKl3xuLBgResLZJmLiYSdlFc+zobQ8ORKv2zAQLrBNWi8RANuQrXxzP3NE2cwLwTOqYt4JH0+x6ZvYuKd79KvID9I5h23492wEeerrw7e940nHqTtiQfRPnAv3UWVkP3UsA1zSfEvyMu7ktyca9jxzCdojGtRqW2Mm5LBjjXlbO1chm7iTVRUBkhxxmLXskktRbBWvQ9jYrlPQ9mqqaYskiOHS7ZoqzmuXyzPIcW9BfPCYzCMcVCWq6d11Qp8Z5+FaVysQagIUb73wJ/lEk5BTVoiNWlwbFfcmO+utDPOPo5gsB1/ZgHhxBR27Soc5kYyNVZTdtwSttQ3MVlVzhT1PlnVttMVO8cKdEFygrsYd+mt1PeGWLYsFrbJMamxS31kW1s4MXMNOdlxg+KF/aczO3MLefYm+sbbqe47gemeRE7Ux7wxDeYm3LN+j1p3qGdrgPq+bLa1TyTV3Mlb1Sdyy+w/4Qmn0Bo+l5d3ajnG2szcMcsw+s4kyapHrdGwxRZmszvIxxkn0q0z8chOMRax4xKf5oljSkkuS6auupPRGTb2t7rYXDc8NCK4ESOnoeNye4CGviAvvfompebhYZiArY6X05/D6cxgATBHY0IfOfznEWwIZ/PNM07k7Kk5VG9YxRv9nlqBLcdNwYmNchVZJKBG09/RWFDqiHueWj1pzJnyW/x9m3jjjU78fjsOx/AKHfnz6uJGwHXzRhHdVIkHJ9Kqq8jTFSBaIL1UGWFDODb/3fV+Bafoy0mVIhQ1bcPo7c+L6RnI4BOh2unslOZz+1tevMzm/Nc9PEcQleZ3jEqs4aZpDzI6SUhDiK2NCqPWz+9OX0fY8xE7tj3I6NJbqXWN4sz7hyfvigBLmrmTNq8QuYvHEu1GLRfPTKe7ezW7dl9LJOKlL1LM79ZcQo8/kTuGbDe3REs5RxMLC5lUQX6iex4efofQtz8mlFjEnz84wKOrYvOz8KhFQ4modb24pGrWVHWyaPRwXaT2gIZnNzTR7Ykl3b63u2XwcwkSVB5+nr+RWZnzsXbtJE3fS5NXywPhO5nYcZCiXz9JTSvJD5xBjWTknsefJ1kdP6e0kpoTQpNYq3Vxp2kjL2SMHqnI7QtBMWD+y5g0as5wJLAs2IDdG5UrBLpCYVL7NWIGyP3mOC548QCOS8aiSootggGPh76Odpr27WHti8+SN2GSnEkuhKkE9bt3oL3nNn44BSaP2yrHXeeN/QkT90bZ7vLxq9/fSlnlLpbPPYmtA5UfZnhr6flc8vyDFM2Mkj9mH86IREh0TO4M0ZEX8zbcWhVT95x2ciGp75XirojvqDR6PVXnfpt3XQHOTHdw3Le+izscIaujl3vL8tGa9Fy4s4btQgJe1kBQ89SEwkFF1XRD7LNf0N/F9MLZM1j+iQpJG8AadhK+fXN/cwAYpe2hrfttXEYja19+gfID9+NsH/miyxpXyDGZ1SQ1xSfnzPYAPYbxeIvii217QgKph4bkZaJhD+3VHtrj+1JScZPVYWBnql4OnTV5h3fJFZyYaSHNsIoDSXMJ0kQkI4pvVxcmYzLhpk28M3chtlCA3116Dcd2wbwdfuZ5PeRk3CK/3rVIjeNJLQGtBkO/WrP9hBPQ2BMGDZiITaLvnAi+mVGaxT54SJRCq7GRt2UhupWddJWspePu76GaeRc60zxU0RBJ7/4Z7Foi0W62bKrDro7nzzh69jOq6lXUIiR5kAHTg4c0KQETeiS9iiYhhX8YTKOTKMiywaoVVDY18dbzz9K5fTNd1Qdix6jTc/yV19Dd0sSm119idfOrmF8cI4dcJs1aSMX+FlbYhbdvuB6H2usmsaOek274EWn5RXh/eQGnZMfPR6s3Nl4eixZRcW9qfoTS0pvZ3FlJKOLFUdLIn2d2DVOXbVidQXd5Ipuzp8i5R8KAMeUGWL49i5P1JjnE8nfHDk6b/AiWg4yXLW0TSTV18fTe8/im9iV2VZbwhmPp4OO/XPMLghE9nnBsA1LnzOeUiTcyZ1QKTb0+znlgLa2ifYhVeC8OzY8QwYgr1lWi21CFJ3hoztePl4zmQJuL3505nrq/reSf3o+xeMS1lE5r1EZB4FAPa2pqnWzACIYaLyKEM3fuXFLTM/jGrx9mvLaND4MlvHnzeWj9fTz6nYtkETxjkl/WJEma0IstNXZduxot1LyfLRswUljF2IsqUeticaj61pO5dedJ/CGtlItnnUC0bjPRGjcNuzvZp4kZPHMKkzA5Q2jSzexs7CV3Vw8XrOlis9bBdrWTVrWTQn+I7961io+DB/V969ZR1LFtxPPQmVDM9x0zQBX3Dj1FkMVo2WFOoKJnFOGohiSjk/vP2E/Au5ME9TZC7licze3ey5at5+MM2BiV8G3qXDmEozrybfX8cvbdqFUSB3pG8W7N8ezqHItOE+Li0X9n5+YhWke66ezo+yE2i4duf3zxP35MGr1tY5AlfocSdLH7wcv4nv+7NErDc1oi3nzUCb1oTI2sruiQDZiaTg8rD3SwtqqTZXti3cQLVS2ycvRPNcs4z7CC5yML2REdxX36e2PKw62xNSBDXUiT8DgNOU+8USEO6WFd/gwyGmooi7ZxjmY1fwqfR1vUNmjAzA+NQY+Z72U9jc8Wq/L80aY+np3wW74MFAPmC8DqiC3cDm/swm0LhA4xYMTkb7x5llySLEqTxWQfDgV59PpYxYmgt62FnR++R+mseXhdThrLY/Hw1K4e2XgRPPuz36IrmgmTj2HXmGnsLJtOY9aQnayY6HU2Hr7kJ+ilAJMi29jMDCQRCz20FQ5bQkHOLymRDRjhuWhNyaRi1HiamrqhqZur+3N3RiJJp+GpCUVMt8eUGw+HWm3AoE8jEGwjZOpEG4plL2qSjViE7r249vw2WlcPSRodQvWcqTRGktgxdia/NZzJ3qazhz1+efNr3JP/TSZu38i0XWuZc+widlTFFkC1RktCWro8Sfv6Rq4YOrt4N6biMDV1c+gLHapdc2H+drLNLjjht6TM/A6ffDIeoeXmOFlNZK+TP48u45mC03l1Qib5Oz9BlSj+ThkGVw7qkKjk8eKbEcXtV7N/Zw6pWi2n/+x3uML7qbQ/Qu/fgqj9MEJOMAZDBjMKnqXpmhvwH1jW31Ur5p4vPfA8B0ovYNzepzB11GErzcNl0hENNaIxxFznCXo/U2pfw7bwdNBOGnzfD/tCzLVocWgsFJw6AX2ODZVWzdJ2K82ftJIbTSHS7kNl0qKbnEBwXRe+3Z0kleWikkRibZjNe0VljBGLWoOkVnP8d65n/LHHydo1woAR5fi9wUTs42bzfk2F6OQ3yLHBsXLScJvKSVXvOhq8XrJLyzAnJNLhtcjVRYJ6TwIft84iZ+bWwYbZPtVHvPv0TkqXdqM1HWoA1NZMwdOdzPj5Y5hea2Zfd6xR3WhHlZzE+GOxZ8/czLfGPYtWHaGqN5/Xq06m1FGFJ2RmbdUMwkJ/SWNmeecsJrjKued0C+3WXO54dx89gUO9DN94NN6r6GCMEvj7j71Ep6ciFCQYjh6S2PzJjxZSkBIzilpaWvjbn/4oj7MgQ+1iXyRdXmwWhycT4Gn5fpcrCZutm4TEVlKz8+loil+vJpOJ0047DYNoPimu9XAuwZ4+TtZu4fErYvlBGkOY0rMaMKcNL8fuaHLQ/F4G3pNuQGdPInvDP+lrbCWxMDaJZLovl/X611V2ckp3lMQVPvyRAOW7n+XPhkRmGnIYj1Geclp0kBSS5DxwPSpSo7Frvt7k5fmQl13BiLxQHcsebELHqX4P1n6ZgZBKy6sZp3N+yyvy7TpTLm86jh+xe7pHo2L9zxbxo5d2UePMo8RRg9H3AEbx1BFS+hIMLn4x68+4ghbWtczgxPy4gKA4F8RPSHKgUw33jO3rLuaeLRcRkYb3B/vhCaVcf1wx729Pgv72SY1SCjmq2G5qilTOasMNfBKZRGmqibSz7+CdrnReqdrNFtcO1IZWnl5fz75WF2sqh24kJL6reYufap+TjasBrtK+c+iHEtsDQ2zsugKxc2kZx7IpvACj2Yi7rpM56CmjjbnE8rPao1bG0sai4HgadX7+mHsnki4+V95+2pV8WSgGzBeALSmWRGbxRVFFJbmdQLxjTZyBRV78Vmk0Qwt6hnFgQ9ytmZCeQcgTtzxc7T3kGWvYNPkYGrLjCV/pWhWnh+7Hj5F/qmJGUVBlYJMse3UoN2X62BVM54OuPjZMnMt2jZ3q7JjE9JGQb9Tzr0mjKDKPlClwKEZTbr8B0yF3whbeT8dZJUS2qOAgHQ3BKVn7qFrwG34eTKI9Nd7ryY+Zx7LP5ttNr/BWyrGM9VRR5Gvizld+Rp9hLBc98LhcmbTj/ZhGxNk3/RpbpQlNiomPtzyJs72NcCCAs6ONfMtYZqefjFUXa/hWZm9iQ1fMazQlaSGJun+SOWMRmXNvAl8vjD9bzlwwatLx04ZqegrpJ87ll6EwVwVDjLGYuJVfyMkTIfOf0HlTmJDxCDu7v4XwgVlOSCcrt4WeAwm02XZRs/V2JCkoX6UjGS+2VzUk7tZQ3XLSiGPqiLYQ6H4Ag7sKbdZUUiNuXCIQFBGx/DKKkloZH81BteiXw163KyrJwnuRM0aROSUNjSVubBdoSlmtVVHjDDBzSQH1+2uofO0+lqR/A29lF89cfQuq/GKkfiVVSafHPVr06YLl2/eQlzMRbZqJYGY+gf7qCV/ncK/OouA4iqL9yYZSAulJJ/GGu4qO+loKJk5BbUhkfddZqKR9ZF/3GKcnONhavhBZIrWfrFkdhyQy99VbkSwGWlpKmHHcfCZVpdGoc/KBS483ZMSs8/GnBbeQaIhXcbUEZnPX5nMJRfXs6YoZfVaLljkFDo4tTUUKl3BqvlbuEiw4fVIWr25r4q5l+5me7+CMyVn86vW4MOUAx4xKpm5fD7lhNRdPyGbm6YU8/ut1mFRh7h6iZ/L45dP5aG87Pz+5DKshNl1v2rRJTtIcwCCk+qN2WZ+3RzKTcfpk7lp5ETPSt9PpOYHp1r9hNvcRSa+jLNFOY73E6WedjSPBLm+UoqJHm9fPDyy7CdWsHnxfo8NP4UmNGOzDJ6J2bwbzFj2JZZFB1iMSrAnuZfPb+7CYkimqvwgcGm70d+NY9iYbzUWyWvamznfl5y5FzeKsS4gYMmS74dVQgGcJytfOeSoDH0ZUnCqu5UAf+6I+7CoNN3RvprdveDhXsCx1MW3GdN5OW8JY1z4+Sl0oV+sITkLHFRj4niVImyfIukiIbz+2ieU1XZxdPEo2YIby4I5v0eNP4Pi8lczKjP8tm94zzHhRq8WYxczLAeMlFNHKxq1F7+GF/WcSkeJLa3GalX9dNVvO6xPMGp3LY+GlFKlauD70fbJVnSzT/3TQ+Fio2YEskfz8RZz67fX0RiewZafIg2zBG47KxovYsKqQuFyzjF/pYsbqp7GdsRRRhx0POx2SXDVaEbLzJ9XFuIXHR+/GHY4VMdQQKw4YqxbB+TDNkpUGaxu36Orosu9EpY6b1ncl/Jq85MO3MvlvoxgwXwBmu4h7xwTtbP6o7IH5TERXsX5ExdA5N/+Oh68e3vZ95pnnMeO0c9j01ss07b4XX0fMUMpqHa4v82hxOqflZvLRxx/RRRL/JO7VGcCoinBy9EVmSOt5rjNCSc5NjEobLRswr/T64CDj5cftB7grbXiPkbtH5/LD/TFr40eFGUdsvAhMxhyczs0E7HVEO6agu8pDn2U9lalCryZmoDj0Xpbm7GNfjp2mMokGnqZddcfge6TSSweJ3Fp0LbuspXzgmMfydY+D6lWWZmXiSb4a52MHUBm1LJ59Jd0VdWhecuMV2bMikfrUb8vfUeubu2hNqaEgaQLJ3xgL/f0l56TWo1NHybdASt46tN/dCNpDP6MluQx/Vxs+n8hpmItDp5V/BGZK8XKAqCqAN/EAVV0PysaLwB+oI7EQEgvdVDfcesj7qqIaejR/pnpXN6fv2IJRN4NoTgeRjidRGRMxzL4e/4exZm/7MpLoyEkkWW0iYdbJmBJLSHOXU93xJtFwO1NMEQzHJKNaMXynus28j7ekeib2LaJxWwepWjWtriDbPmmgr2u4T+Cd52OhtKhmPt6wC7PWRrIhG9cQxeAB8iIpnNg8ib5H9tKldRNKSDtk2zvGnM+s7kJ0QxooDnBC1uX07m2krz2J09JiJaRhXYjMvNGxhHZJi3SQz8LfqycaUiOFNdjXfZt09DSNkYhE2mjcVsV4v41StZZoVENF7ygmpe4ZZrwkOhZz3OQH2effw9Mb6nGYdbz4ndkUmg1o7PHvXVTQDJCVaOLahaO4blFcB+dgA+a9G49hTIad+6+OCbfZEw10djfgTV8tVzPNNExio1PPtHwHx41Jl38ELpeLd999l/LyeMmvUWfgTNd0rBh5KjlCdZeHxgQdu0ILWbZntrzIZaVnkp3QzDjrP4laNDzf9EPufaQcTTTMMd1rZA/SAGptlGhERUK+m7xFzWj0A56uSYzLHSMn247L+zkZCcPDVHnjJ7H+5efY87qWRt1qQtJHRMJ9co+lzsBwQTSRMP7P7o95MXO4BL0YxeekAKh0RLxeEuvKubq/leLB7UJ328ayPPlY2dOShYpaSxHVliLSwypOdMeutbni/F+Qw4Y5WSz81TJqQ2HZeNGoVXQH4l5poeYrKpo2t4mEVxW1u/NYOG4m+vAGnH3xMJXVOpaZM97A729i46ZTCYfjG8fdvp+wuWU0Oxpa8IXNTM1L5IcnjmZjTTfXLBwlJwUPnldmPb8PXzp4u0LK4dXoPDlkMwxXM8477yA/MpoluR6Wm9pJVzdwt/ZRpqrjWkIDvG0YxSipmV0GDU8m2HizsUXOvPml5na8ATcflIj0gGS0YRUXl0sYQmo+SfWxqD2RPmIeFb0/iYB7Mv6k1zGq3Uy2LmN/7ioG0sLFbKH1lfBQ3VVk9+fAuRIasS+KV0R+kSgGzBeAmGAtiQZcXX45D6blSAyYIVz2p5go0zfvvJfO+lo+/PuDJKSmMf/Cb8remvnnX4qn91Q2v/UKeLZy/i23ce+2mKvYrFHLxotg/Li/yVowx0dc7PXrOS0jh0caO/jXpCIma2rYsuVF+Qz9SSq09K5hSb7YB8X5RmYSyR3N7FizkqSOWu7/8WLW9XqY67CyJNmORauhOxRmh8vLqamfT1raaIrJWHcXviP/9Itt9hP3sBgyE4mWxeLhmUO68F7ufJrE9128cPKVRNRaHK7jeG+HEMObDPpXMYS20FMnFqfYgp1MCsn24bkWzrdiSSUmrZXCxImkfXeSHDoZQKOSmPXjRyF/zqd+FrOpQO7ls3//r9BpE0hPj+eVjMu6j/oPnqEn70Oc2SvladtqGYPP30BksL1ADEfdiaQeOB9Pyi65S7ZosFjqsTMLO1JqPs7sFXSNegPr+CLadjnY2/EkCSXZ5Pr1lE68ihm64Z/Poe9P/ou28ZOxt+Bsd/MucYXek8dch6SSKO6MVZEd2NMt/3wWam0GXVGN3Gs33Tya9GPz2bBpJ6XqbOb5Y+GZoSSHhUs6h93aBmbPns382fNo3lmLfV+EcPcIcUz5O7Fg2ibkZuLGuTako+V3/QJvWZfSOv7vOGqXDGquJHXOI7f6stiT+z1Y1kYX5cY2OqU+dLlWZl08lqK/r6MnKBa0uKFR4z2ZKxb+CZVKza1njGfeqGSmeyQCf9khn3XWxbls09SwYkUsOXvGjBly6Le5uVkuY501a5Z8OxAIMFdbw6ZwLpO1zVx/6ixKUi1yW4hjLyxm34Y2ujR7+fC5+I6/1L8TSZvGpcWxg66srOTpp4fvshcvXsy8efOIdPlp/dNmuU35uJwE2YDZ09xHaYaNZqdf1jPZ3TNGNmDk70oVYUnuC3gqT2VJ14dkTO/AUSwWLxX6EXpCVfeUwubvMeekieRmJ5OQakKKSkTcQQLBCHqrnurtHax+QiyWQoEngjM03Ps1wB5rGZWWIk5ve5sMfyOJwR569bFwmyMaxeZvlL0nizo/IWGIcTBAhqmQnkArk5OP4wlrbNefn2Qiqw9+GVKxRRWhwKemr9+e7Kx1817tPs5MMjE3K4Haupin79a8NMa1jRrsA7WmeRaBiIHx2Xb+csEU2WMiEF6Wjo4P6Oz8iNa21yku/qk835pMOcyds1LeoOzefQO5eVdwfE7MIKnqcJNhN2Lp95bNKx5+DUY8IdQGDSeOTcdZ3sk0h5WLUxOg6gZcUprcNd6iWYY/OhWTZgsO3QPM1yayoEOYcF2g/+mIY/us3crtSUFQxfNnzs/KIBJJxO96kqYcH7qQiskViXiNYVxmNXavhDewn2UFxzGnNmbAJAUnEDqzgk1bbRzjdTPN/g77h/RZ0wUt/GzbJDb2/Z0kQxZWQwInjR/5mL4IVJK4yv4f0tfXR0JCgiz0Yxedor9kXr17K80Vvbwyx8LU2VncNfrTLdaHr7kMd3fsgvvh8/FKmYGqDq1eL4dCDsc1e2p5tb2XB8fmc1b6oTF5gfjqvZGobHiI7sgfL497VPwqK0sXbCFrRSzPJlMXYdv8aXj7nDx41cXyfdc9/txgQvHnxefqo2LjWoqmzsTqSKK5+SX27hv5Qtj+cNmgB+bCBTrWieqbfi5WvSz//u2GbZzcG9/1RvVRPPkBzAE1eW0XoFKFaQ08TFga3khHpdeQes0k2u/bNtjywTAqAfuJBRgG+gL9JpZjL6mMqH4dS5j7NBoa/8mBA3EV0Zkz3sJmi32GzuaV7N75fbmh4aAeyJ4rCVibaJh+O6ae0XhTYmNe/PH9OD197HNuYkbKSejUsSQRd8oOmqb+edjfbFubh6l2rvy8kfh99iPM75tCy+6PUUfhlWOb6LOGOa17Ade2XYB/iZXt+r3cWnk7ib40Ltx+84jv49Z3sdPxBGbNFCY3H09Q40cfMZKvVzHZrMUlvCoZZmyth1a5dKlc+FVBsqPJIrObjJum41nVhOuTQyXL1RYtUc+RC2SJ5OqgpRm9N0MeH1fGBtL3Xib3YTr4ea/oNtCj8XDNd66W9WvsSam0t79OdUWso7op/Y9MLD4Ti15DoKIX18pGApW9h7zPy/oN9KqHG51fBCeddJJs+A0gKvbUVh2P7WiSc3CEpogkBXhnd2yJnpO5kW9PGG4AtW5OIWP6YTLZ+wn0llH1wfdQS/EQYunYJEo8AbTOmLerJxzFHYVcvZrX6+/HH4l5MwVRjYUns87hWw3/IIqap3IvxqO1ck7zq2QFYon4ByzF5PpbMQ153VAklRaVFKY+YQ5axwx+oDLxRDTA+nCYsgwbpc1hQv4IM8waWQ1bdHD35tnluXYo+3Rh3rTEDLR3sWFDxS057+CNGFjfMoPTUu387YZ5ON+rxbenk4SlhZgnxoyBaDREMNiB0RjfSH0ehLHX+2Y1vh0xw05t16NKNRGpGjnnTmxqNHSRaTzUU34w71ts/DA1EU1URWGzhQnVCVTkuGlPL+SYTZ3YfCP7KLoTkklydrF2fBdbpnybmfVQm5yIj+XgX8E1Pb1c29vH61YLv0gsINB2Bum6do6raCXxoFzBomkzOesnsWKEL3r9VjwwX3Air90TpfUIPDCnfO/HvHHPbSy67KpDHrMkjmyQDOVPY3L5Tm4ak22Hl7CWG1D2d8pVqTSYzUV4vTEvhFFys3vP97lMUvOU6ttcFvw9u2pOY0LhFdhT0+nraJM1YITreCTCoRDlq5fj6epi0oknY7bHjACf28UnLz3Fhk/eok1UNnxi5dYf/YNdLic7vRommyJyz5LCQqFt0EV6+mlU2P+Cp6+HYlsXlV2laNJSZTn8mjdK+PP4PqqsapYOMV760voY/f0laLRaosEIkb+OQ+vZQfJiL+GMMtCoBz1jQlNHYChMGFykUq+K6eccjCRpDtsa4mAPzFBq6x5g/Li/UFNzHzW194I+ZijZWmaTueu7ssKlyVlEyccPgnBlax8lQZ3Btq6PCY7/EJ0lzN4KN3kZWQTs9fTmxkIPQ8ma2scoz+LBqIxX7eeZlLcp8udQb2jFPUoiPPYkpF+vBn+QJJdeTur8/jm/JCXiQCMm1Y1BTl6bQU3G8DLcNmst7455BEswkS5zk+zEUklN1CXuwWXs5pKtv5HbMMifSTw4gvHSG4lwb/Ib5PuyuCRwDDoPtP5u5MRWf1QiaUwyllkZdDy884h6iYkxNHhixqmtY6r8c7jniX49b2u28uAjD8n3LVy4kGOPPR2/ezP2hMlkZ51LsMlNx+uVBOuHewJCRISusFyVNS6SyxpRyn0EXHrppTz77LPDwk1DOfvssxmVX8g//vg07bp22RN2MLm5Ocyfn0ha2nAFqAEvYXF/5+K3d7Vg1onv0CyHoqMNEkwQzURVuBrNJOR7PtV4iYQM+LtG0bj6e5TaTLi8YZojUUaZ1ZQ1Dx8Ph1Yt628LRAhxwIBZnHUpv1FLeLQW/pV9PlopLBsvSyIGclSjiMplMVDqOTQUItBlTqLbpkIXTiWhezylott8n8SzcvsENSeLjO/qwGCaoDj/hHkxzqTBMjqBlpnprHqxAnUopix7tgEaRb8qNNi0apK/UcYN+jIe+6SKV/Hj6JB4/e71lPVFsESg6/n99BnVpKRb5XlCr0vD+X4tkW4/CScXydfLANFIlE0raknoDVG8KJ9gXR9RbxjztHT63q/FvSYuyic/vy8I4meksRddzdVq3jelcd+QU2Wdrog5odjcfFrybCZ2TyOi8lHt30ZZvY1Ze+Lny/T9Dtjf+6nLu90Vm+vSuw1c/vIb2LwRSmxBygv7aEhVU+9y0OaPoGrO5QqnUHGO96LSqYSggopIv1qvSMz/slA8MF8Q616rYut7dWwsNtCyIIX3ZxyqcHowhzRK/C/j9zezpvz3bG3+kKnm2NUj9e8HtKKFX1jFy8GppDVo6alv4OKZV3DiWbHmg56QhzVNa8i35eFcvZunP3qA9eO6sfg0nN82nQu+9yseeuhn/GtUrDPs4ZhjCXHn4qcJ9iax+rl/ULMtFgM3awOUWLvY2Zspd2WTT1tJxQWFca9N0oWjMZQ4hiWdipDWo588x5w9j3Ns6XQ4+c4R/264y0fXv/Zhm5+NefJwnQXpnomo+urwRhdhuvXVz/xOfL4G1q5beNjH7eHppK29ErXfKC+oQ3Hb97FF9xiGxACOUSOHU+TnRXTUbUmgpO4UTKe/RsTgJHvrD7B2TqLC2MCKWXsREmVb27dSlFiCOfNGlnvsXPrSA2R0NqOymnBedystBjPfCPaw9Y5Y7oygMyFAjvrn8v+rkrfxQemTlGqKqIjUDFNgHmgnceL+K8h1lnCuLa4G4YpE2e2L0h6WMKli+egRWzOtSTuZEipihiemETNAVzg6qCz9Vm+IyWYNKdPTSByXQmh1HZGGuFE0cAwHj91IiDlWn20j0hvAOjeLvmUxrZVPdHtkj5CQzg+qwkycOJGFxyzA2BKVO7aPxF5NE2t0+8iKODg5NBWVWUvKT0rZuPk3fLLcTlp6G1MmX0xmZjH/+Mc/yM7OYfToUsaOHSvPRU899RQ1NbHYqMglGTBmpk7roLTEQVNzrPJHnNrtbUUcOBDrpJmWVk1uagPm5Hj4bNzYP5OWdjIu9x5CwS4qq+6ktaeFGz+JtbgQZPuaOLs1JoooyqBFt2JLkZ+COXGP1x83fY8WTwZmrZeFej+ze0eTGtTQF5GYaIotgCsI8Uf8snftxxhZENHhjkhk64cYUlo1Dafb+OAvtzHKMZcFtincipduv4RJUhFSwakhHfMsWiq8rezuGN6gNDWrkOySGby8dRutJcfx0xn5vLvyFdQRA8kdw9ufHMyCi0ZDi5vEbQPiC2IVT2T3vj1IvggbtZWyQZgRTZTzyLQJBqYvOA6zzo6+2Mb5K/ZSZ4l9ljxPlH+s92Dtd/4F1SD6PorK7zezdWijkKTWsHR8Bv53aoedkz6C7NLWy38nPzq8FPrTEF6s1SqJFyeaKc/WkdHXzWk7VvNN6RW5FYYTGw9yCSeznP0UsYf42qHx9GGuj8kUjMTuQiepfQWkd8WSjRdnfZOPu98i6v/s0PDhuCB/BzZtgH/WTCHN6KH4jGOYeubtfBnrt2LAfEHsXtnEimf3sz9LxyfHO9g5b6Q6pC+fPZ17+M1H53F1amw3F4zCP7v1nOsIkaCReLxTz85+t6TNo+WS5ln0zHTwXM/wMNdQ7G4tXmOEsPbITrUzN6eS2H6olsUAueMmyh6gscceT8aedPT+2G4o545YozqRg/NUUyfb+rzs9cTKP1VSlOdbHuXYi2Odqj8PUmctfX+5G3f4ZDJuPh6NTf/pzx8SjtNozLKo1cHMmv4evbe1ygmNAWsjqiSJqpwH0Fg/O0T1rlPHsr6YkVboz+YWkQCdu5zmzjxui+bSm/Id9BojC5MTMWi0rO5x0R2KLZYnrHydyeXDu4EPJaJW896CMzD7PmBC6wI6Zu3gsbMfos4XQKdS8cKeB1jVtIoHFj/EK50St1Y1o4pEMbuWs2JDvNfQcdPfIr9Dywn7jyfLosPZFUKrU5F0lYYDH7zJZR2ny89b3heiLxrbK04xa+gIS9SKk64fsazMsWqo6/2AaSlL5Pv8piaqpt1KYM08sjzH4jBnYejXxe2S3NglHTq1QVZRXtn2Emf+8lfyOSNof3iH3LRygCgSNeo2uYlhQXS44eonxHLdbtrUvSQl2HnLuowMZwa5plSuaFmCJqKnYdYdeBP2ydoykYAFKaol2PAbuusd+FxB8socLPnORFlltaOjneeee4qU1NWkpcXChIdD9HfauuU0tNoA48csQ2sMy2rLfXVWtMYIphQ/HbuS8LSZSJvYjTUrdo5dtezPzOrZxHTnUI0UFZmlJ5I/aTaNzf8iZXyshvet9T9hY18uTSPUEItygOGF03EW2ax8f8loJk9Np/PJPTQGgvzQ00d1Zyyc9jOMnIqe5cEQTq/IwlGhU8FimxZ9/+ZjdfubhA0+Alo/+RMnc8J3rpdf29DtlfNHNMEAf/7r3fJ909POoG5nvFQ5ORWONfyZ5t5U8ow7SbvqXqKp02n+7XqiRNmpqWfzEMXYkbBIRuao5vDQaLOsgD6UdF+Ut1d66NWBVwOrU7TcXWYkolZR1NHEmJY6xoSzubAjkR6Vh0905fSoh4fAlgQnyVIDR8rFc8x0qlycvHs9lmBs5M14WcQ6NjKZDuItMgQat5OIxS4nMZtrynFEzMxKPUVu4/Ju46P4Im6Oz/kmLxZDqi6NxI3vMsE0gVRjDrt6VlLeu27Y+7mMIWxDVIVHItvk5Jy83ZQHFjJavxYVIbTqKJ9M/oDjzxqufv2fooSQvqohJG+UjmCYcFRCK2IlXwDib23t86BXq5lsP7xhIEg1p1Lhj++snu0x4dIV0qsLkxA9wERTZNCAcVnCPFiyRlbAHIlJ9nHs6Nsj51oMZbStmKLkEgwaPVvK3+X4LBejjXr2uMw4jD3oRBflHcloTWE69zgonDQXb183JQtyiEb7mH78zWg0MSMitMBL94sHsB+fx163j4t2Vo+YJC2SA29JOJGPw0HU2k83QA5GlVKA13IpkjNAuNt/BAaMRGnJb1CptdTU/G1EA6am/l6MhRNoKLobSRM73oNrb/xR+Gu7kXHGCKcmhljr1tIdVrHcFb9sawxN+HuOgdzl2BxtpKovp0dtRZify7rik2quxsl10t18nD1DdBQYkQ2T5lOfM4ranFGYnbXUJz3EteMf4LaqZu5vaJf9HXbt8XTbFjJpQ1zWPq27hUvfWU+NxUShbQJbvTvQWM5lV7KOXWNAHZW46bVeTCGJ51ZpWVSziD6TRGc4Oig9JM4Qx0VjmJBr4/Ffx/sjCVNmS6SbkHUtlX3pFNsns6l2Pc3loiqulYr+EjFR8t7hb8An6VDrREJulGi4CSnqY8XTT3DOLT+mvu4xAmYfSZw8+P5qVIyKxnsgDbBWu58D2ma6dOLklqhMf43xZg9leZVyo0ShtGtvnYO+dj77e87D035wKWksRFC7q4dXH/kjSWV/l2+PHavC4MoFZwGBhFpZAykajW0WhEelda8Fl6uR9h3ncdYlNt75892Uby6RrwWdOTzY12cooudW6dk1OKsm8K36f2CODjc9dOYl9HWMJbzGw0z7sVQLERIJbvDmEJIsnKA6NP/kYOPlXPTsT9Kxq9vDcpeb7e/s5Jmk6fyitZ3tfXHv2OSohlzhtjDCDI0WSwKI5vGiu/uA59I8JY0LzrpDTmY9mNyk/vnJosdkNOHz+5hyRjrHHBdi83PvEO2NMlb1HpWBeUw07SRRUwFPxPK+DmgeYZO2Ct8QAbsBklQ2uqW4R9Oj8uMONfKbHRm0GRMxhyVS3BHeLjAg9ll7bWpGu6IkhuD8xjDZXidvmQ8wqjMWDvLSzuOHfhWDrNdWkB1MplflwSTp5ZDjABVSlHJnhK5ULWNtWkp7nBy3axNSeHgTVi9m3uZ4+f+qoB9LzV68BUL4UYfB3UkEHQGrmcTUicyXJmLTOXimxMgjx16N1efjL4mpBDT9Y553HhoJfJVOsgJZXHBQWddIxkuJo42xlk6Kbd1EJBXPt9zAQy0/QK1JZI/mTMrMH7HJczYJfZ/dafu/heKB+YLoanLz3O824tWruPssB1vnjCXL+PkW0n+H9zudfG9vPc5+ddc/jc7lkqzh1vxQwtEwU/45hcmmMMemFnDlgjdRq7X09m5my9YLCKOjxnYdH7/9L/b2i1YJSuutzFVP4MmcmGW/OG8x9yy8h1NfOZV6d8z1fV76afxyye9Rq9TyIt/S8hLle25BpTnSXsQMTvSioqonHKHGG2BLn4c7K/YTRC8rCg/oQAjGWY38uTSHszbtxKOJTY6zEyw8Or7gEDHBT2Ng5y7CVCLEFIpKcn+aATyBHv6573VWdVRzqupd0lTDXbQGYw5zZr2L11vLxk3Dy0eHstGj4R2njlJjlC0eDRHRpUUXwaZR0xPV89Ci29GZyzhm5ZvYuh6RhdeyIhZ+nN+JSiUKiXWsYhFvciYdqlj5rU1y8ie+jxU3GzwzMTx9aGhKSjChcsYWIvWMY/jjVNGZOySynEc+UEliVN1+zln3NpIzZsFqVFpSjbm0+WopXHgu15ZOkD1fo+oPsGjTbpLcEdT6MWh0MUl4Q+4W1s0IcE7JN5mbIPrh7SQl5QTefmADDXvCaIy9SFEd0aBIVg+iljVA+3AGGlHrRxEN1RIJCjVQDVrTHNSaQ3e8Ie9LRALx0EvJ/ABTm2IJh126XpJDw6vllnW/RH2aier8TZyUW0dGf76SIBoyyB2/Q94k1JuvYXy/tL3I2TGqVTQFo/REJPL1atxRiW3eCCEJjNogRcffRnLrMSTVxZOsrSenY5tVROUHf8Zj3UfG7m/TVdXElu7ldPkPLxB5JERUWgyGqZTY5zHRMvw7rJn7c7ljevbWG7F2TmYrYRqIyqGijXIWxnBmo+UuTCwnzC2HSMj2fxaRt4eeKyU9jX6JUpNmMASuTTeTetUENFY9UjgqTpQjCo0//vjj1NcPl4QwS1r8QstIJZEUtXKWtJ7lGhvV5Mv9m0QoR6eSqM+cTL0jhe/ub6bYm4BVMrJSV45dMmOWDKzVxXv/5IeyyXUXk6KTsPXvDQxyQwdoUAuNlnjYW6QmSSMcujVqJKyKsDA0jo90uwip4uOoiWo4PTSNJMlGo0lFjjdKdSjIcv0GtNogYW38Dc0RLQl9XlxtA6KdKlkEUh0JU1dYRvO4xdy+RysbRDsX69i4+j3sajPfu/57hFu8/Ehy8bJcsQRLUxJ4tzOWcJtj1NHoD0EgguGTFq5v+gfq4KEbq73WsWRGE0hVpXFZ1l0kaGMe4Te7f0l9MN4INqCNhdUCSIw5p4jTjx8ulvqfooSQvmIGTMAb4rGbYolQt5/j4JL8VH5fnH1UvDDCvb+qx82pqQkk6rRy3sdfa9t4uPHQckZRVr1hdtmnLt4Tnop1Fz216FRuPyYW25SkKKtWz5YTa6dM/gePXXcb/zwpNrksqM1jUkcGl999PwdcVTS4GjipMDZRb2zZyLff/zYLdVP56zeekMXqqqvuoaU1Vj0k8HUaMKUc2pzu07jHfxb7jadxRvRZTlbHeiIJnDjw2U9iaoKNlt7djCu4nPTU47n+zcd5yRpP7FyUZJOF9o6U7hf2493aTuDEXP6UDm83bmWsah/FJi0ZoV3MYe1hX/uCu4SGpOs4O6GDvV17mBl8gxQRTBc7NbeG3T4NZRYj0wouZIcnwr/2xXIhZmZMJ0vj4aYZN+NI6E+WFperSsX0d99DHWomX2rju5ZH5UTDoThJoJpRWHGRQB9ptMk6Fi53DTse/uzGa8+ddsUwIcSbizK5vaqJ1M4WFq4b0kurH+EhyCoYi8mVzP7Gfve0SCB3HbrgmTPmkz5pN/a8DahESdRBREJGnDVzSShcS8eus+it/PeTBFXqTnxdQv+if5pTJVCcOx19yn66NFWYquZhiRroDbbT4q2SQxDiswg9FFuuh8yZ7URDSTSv+y7+nvi4mdVwgv3TDWCvsZeIz4ztcEbgp9Dhb8Qd6pFDAf58NRXbY0JqxsQzCPQtR4r2YUhciBQtINgXb4wolKXzr/4ts0M2pFUtSP7hBklYkugc9wTOnJXYa08m88D5crKp45wSuQKnd2UDrxWaGF/jYQwa2SAYyDUSi9WNeNl1kJFzCjo5N8ZSmoTWYcCzob/VhwqMY5JI+sYY1PpDvS2CaCCCSizgQryzP7wkFJ1D+yv5ZO+jbIt8hkiaBDnRJCZGCsiKxtKJd9siJIY05AxxI+1KUPNGvoFFdQFqur34LMN7HB2MUAPuUA/3iAjBwJOCUzCi43njJpBCcj7UkpTZ6IIqol2xOWyFtpwKbVziQZAStTE/PIW3tXvp0vRhF3o3Q8iJJDEqkkFhNA0tGnbqVlLTW0FNehr2aAeXXXId+UXTafYGaHlguzx/p39nHHf96S5Zjfmaa64hPT2dzmCYnx5o4BuZyaKyngt3VMsd5vcfM4Fp68pl7/9Sr4bbJ6fwzE3xApFW2yJyyEKrjXeuztHv4Iyk37DZfS4b3LHK03kXlrDh/TpeDLio0ob51+WlzC777HzOz4tiwHzFDBgxzI/+YKVc8vfA0gS67BpOT0vk4bH58m4kEI2yvc8rh3gM6pgHISJJrO91U+0LoFGpmGo3y2qugiqvn8caO+Wwieg5JHaBgpFUsb+bm8oZqYn8rKKRnf0Lyv1leZyTIbLLD2/A/Gj6j7hs3GXxSWD392lvjymASt5Cer0taFKzmTf2FgKBRjIyl6LTHdrWq8vXhRE/TQ2P09T8HNEhLu6C/Bt47eZlmJIClJ7mZq91DAfa1zPHGqYyoGHekPDTfe0GJpgiLLAdeXmtSqWltPTXlO+q5ZuGeOhAcEmqipnRFWS7X0addCpr9d9Aq9bJAnzHJKho7qsiTe2mlxQeXP0B74U9hCKV5IR3cImjT84JShwhr8cVgcc7DUw2R1jp0tIVGV41coHoVG2NLQIvRU/gFzNvJseWI58HoWiI1TVr0W7LpL3axazjreTs+yV0HoCe4R2UB4iqoHL2TBp0Q5ojibGt85IRzSd4wi/AlobFUkog2M4jV/5IfjxFJFln+Kj7KFa9k7ewGXeLme79iUj5GjafdAwluj7yjEvIWL2KA+sPEtrqJ31qB5kzOrFYSpg6+RUe/LZo8nn470hnEX1zyod10D6Y/eoZ7GQc2W1ekpafIN8nSWH5+xSE1EF00eGGQUQTwmJvInPW3/F2lNK2VXS3XoEUERU3EipNGlJk5D5ah0NrykBj+MYwj4E4DqJezkw+vCfzcDR5Kqj37KXUPp3kz1GW6wz5WNm9jYh+umy8SJE21LoS+biCrheJhhuYfPzZjA9OIdQYDwl1GFT8o0DPx+laTm4O4dapaMtdzXe5n0rKmDDhWeam2gfnKMkXRm3WDXoc1WYtljlZuD6Ke0IiSCzoD/49eN4klk7LQRI5VqK6LyLh2dZO7ysxkcOsW2bL7yd7XtQxIyXU5pE3A+FOH7593YNVZqbxyfh2x1WZy9WNbNfV4lUFsEWNchf0LrWblOQUiqdOYtf7q5kbGi336joc65M1vJyr47Tuv/FJ0mSK/E1c2/Aif41cLhcnHAk2SwIpfQZmhUoIpSRQeO1kJq3dSV7lbs7dW4/UvodMc6GcgyJYGd5IjcUre2HGpORT2VkXa5h6GIr9DhYwZVhSut9WS93s3wx2CNfpHMyY/hp6fSq9vRtJSJiCVmvln//8J1VVVSxdulTWHjqYdzt65R50ZVYTNx9o5O+NHYxlNz3hNC75+72DzzM6bhr8f1CYrTlGNuv+RaZfzQ3f+RGNtRoa84yckiFKtiP84vlnOCXr97Iq8ZQpT5OYEPfOHA0UA+YrZsAInr11Az0tHp5eYKNmSOKY8AbU+gLU+IJyyOPZiaN4pqWLRxo66O0P/fy73FeWx7n9hsq/Wrr4wb64Lv9fxuRyYeahk/DWtq1youa1k65Fp4kfZ2Pj0+w/8OvD/i2TMY+yKS/wUEuY51q6iASaOU31NoulQxN8bbZxjCr6McnJx/DOvX+S2yNcesdfWeHbzK/Xxv6Gx34apb7XaQmJQEnsSk7TRvlF5vAIfXNQJRs7BYaonJ8wEhoMPO6+HL2qGYehk4jawilDPDeCTdIUXIEetJFOphndQqpk0CC5v91Ijj7KKQkhHAcZLb4ovNarpyJg5MfjT+ee7jF01MerQQ7Gqpb4VUEao3IvZHTBd+T7xGVYu7OT9x8vJxyIf+dalZ8Lkn9AovbwC68kael0mNg5MZZnVVztobLIgj4YZd76btSZk+Cq5YQiLqqr/8LeDa/Std9OzjyxCEapWZaD3qIid0E9vm49+1+MeaYypnXQfSCBoOtQD0JiUR9pk7rILJ5CYd7V7Np7PZFIbFE78Fo+3rZYuM6e55IF0oRgWvOGU+g5UIsUjU3nG8Z2ccoCBznR/eyjjCpKOIU32MVE7lD9Wtb/N7jXcsWKFOw+G9Hup1Brs6kpSGdN4SvMaFiKNeCg1VbD7syVSOoQ9+T6CAfUtG5OpXP3yAb6MFQGNIYp6G3jkcJ2An3PHmLk6Mwngb6QQEoT6spYVY/grPwb0KuNOIMdvNf0OBMdC7AYEtlz0XSKPuhhtDt27Wzt+gCr1kF3sJU6d0wsL89Sxpy0WCLzqraXmZt2JhqVht6wn0TtyMkVbaEo6z2HzgcizycaacWiK2CRXUe3Wc39JQbezRrZQ5QuNXMP3xMpmPxc/xyrZ08c3PkID02CTkukL0jf8nq5Kk/jMMraKPo8uyyc51rVSMusNPZ7ApwzNXvEcFDzHzYQdQWxHptDsNYpl6OrbTp0qWYCtX3Qv+H6dwhqYo7IIU2wRySg7cCjtmELR0hUrSZR+wCq/tBOAxm8Yz6P2UUn8+ru9wdfM3XyFLZujydAn3feeYwbNw7XmibZM5R4SSm7Pnmf9c88yyjbFKzaBDLMhXKrhKF4JB/vRFYQadhBICOfkOPQqqRRiZ3kZJXDpuMo0Yg+4VCx8DpGrfwL6qiO2tm3yLIJh8Nun0FPz5msXbOPsrIyLrjgAllksLXaicGiQ60NY0+2EPRKrH+7nH3NL2FO3kpm1n6Iaql84zS8HXvRmo7FmToTs18iqFOhu6iAohw7d259kEbtNBJFwrNzGx1JBq5WP4D+oDBi2Zg/kpV1LkcTxYD5Chowb967nfo93bwxw8KOoiOX2f8szstwcE66Q3YXCgpMet6cWnJImMgVjlCyatewZoub5ozFIvouHQFu9wE2bIx33R2Jj1nMbiZyGX8noV+eeijFo35CXt53hk16kXCIkD+A0Wrl3bYWfr7iOtyaAjwJZ5PU/EPUkpfujD9wavYEsl3PMM/3hPw6UayyXH0SJmMK41PG89t1v2W0IUKxERqDEs0hNTcfZOwcLaKSSu5dIpLbquvTmdRWQaI1i7Kzn2SNaRTXfHQ/s/a4mGqajU2fwJaOLbQk2fjGWfOZl5mCKWhj37oWuUdP7a5O2oZUxggs6i78USsRDKRoqzGre2kMTqTIVMW0pHZCodlEgvGE7KjaTcPcH6IPeZjamMyakh5CejVGfwSzL4KUOgYXnYT7EwWFt0R4EoRI16iiH6I3pLFt28Wyh2PfSzn4Og9NzNMYwxQsbiI538G4cXdg7huLe0UTrVU9uEqewpsT06fxthvZ93oR+8eO5+1555FCO+fwAhPZzrurljCmPH4OvrmggMZ0HXrfdgKWWYwyGWgORIj4W3B4a3CpO9CHjXKrAEdvmHT1WGaGC+nU9nJazwLKTVW86viYYF8ns/YkYdRIaLxDznuVEaT4OaCxpRLw9qLXlKDSmBk900H5ig8wZ6Uzasrp7F8VIuR5G61hGtFIG5HAyB2PBYn6NNlo2db9Ea7Q8Jwnmy6ZBRnnUdm3jX3ODaAyodGPI6DToHXH9G+KbVPk0FVnoImUpKtBZZZF4QRFBrVcYSFyMEuN8euzWQfV3WHSM8wkZJpZt3l4mHhDiYH3px4qcJmt0dA0oEEjSTyh+hZ6ycXN3EWtKh4qFHwzK5k7SnNQH2SYRCXpkPsOR/tDOwgKQ+UzMKrWEJLyiRBT4v68HLCGqM1K4MQDsXyOoArajCpyfYcuazbNiyTonoKSE6HifRFfRLp2G2ve2k9DuI0pE4tRI1G/Zxf76hrQd7uYOWkRRrMd/Y4oGkmLRn3kdS8tvmrWt7+Jwz6KloxEWT9oqiaZvIgVWyAejmwv/Rc6fwqutC14bO3k7/0x5tZMWux7qEvejLezmOw5sU7SB9PXl8KO7UvRa3zMn7iV7vaFdFbmkD35JXJ6JmNon8B2+1Yq/VGC/fNFUnIDiYmtmLQB2lZ8mz3TQtiKNlCnKmCVtIgFHVFUWieTbY8zjU2oo1GiBy1Xouqupa2E7b1zuPgbNzLVcXTXWMWA+QoaMMuf2Uf5qmZWjDOycrwZk1qNr79vjEiyuq0kh2/uiucWiGTTv5TlyZujLX1e/ljdQp0/lvB6RloifyvLo8EfpMBokHNpqr0B0vRarP3idCNxb10bb3b0ys91R6LcMyaXi0bwwoyEOFW2brsYT9DFemk6y33ZcnPIb/Mgm5nJqcR3p0PpJIVdlisTDp5SAAA2uklEQVS4dfo30WhMbHJ6+NmBBnpCEY512AhJEi+39RySqzPBauLS1DCRaITRjqLBCqqenvVUVf+ZtIIfkpccL9299sNrZc/R/cffT5u3TTZoTksIyiGnIXlyg7zeq2ONW0tQUvHjdB/ZQxI2BW/5y6juq+b7afF4ddhvo2vfSfQcWBwL2KkjcpXNGNNy/FE7bjKIpo7F2RmQw4UHE0xSM6MwzK5tQuHz0BiKigjpugOckHAfnZGLebdn7iHPydKpmGEZPpH6NLAjUc3knijWZBM9i9+gueuZQ15rtYympPRXGO2zeLyxgxfbemQP4PxEK+q952OvzqH5gI6KyphWiEGvI/ekCizpPjnkY+jLJ2vnNTijmTxSpOfV3Jh3pkiq5HfENHn+zndZFV5ASKvjh2ETNx1bQkinlr2J7zyxjJ7lMQE5QZc9wJvzWgdd5SORFkzl27Un4anfK3s7SuzTZMNBeDMq+raOKF3faw2yoayHMyr/iBT1E/K+xzhrHpPGHc99iRFesvkZ51Xx96mFPPH764iEQpz2gzv44Mm4lsik48xsePn3w97XbkkhRZVFjbYeqTdeyqFV6VmQcT4ftcQVb0Up95iEWQT0o6kP2qgvNZChUfFqYisBfSaXfFRJJFSL1ii60Me+z705OjaUGvEa1GgiUfwWDVk+iVt3+RnlidJoUctJoAPekvcCsfuWjzNy0Uq3nFz559MdhHQqSs1GvpHu4Lx0Bya9hl9XNDMz0cL5GUls23YZ3T2reYzvslwlEraHc2dpjpxHIVje3cddlc00hcNyv7Oln9ImxBOJ8GhDB7o3azmjKV4N+EY2nNYUy6exal5CRRB35AwkDjW2NiVp5KqgZpOaPJeP0V6dnMOyNV3PhI4QU3ti19WdYwy8lBfTZvnVHr8saPn2GAvHVnn5eflIOXUhMk9tRDP/m/DU6USrV7An+2I27vXS2xwT9hPHl2LModQ+jRzLkeV2tCU2YTRXy9m9bdqdmLpGk+NbiEo6so2hWAFaZi3Ho13PvIxziH7wLl19N+CLSrzfF/NWZs+9H1vOdjk/rHv/ElLGvSEn7UejKtatvRBjxMLCjG4cndOQwlqqQgEqNC2kSDbGRnLoULvYoNtLeNiFFmXs2E/I0msx94xG7cwloX0mun5rZbtlG5sj3XIpf+notSQlNdHRnk9F9SyiobhXNmHyNH5w5uELE/4dFAPmK2jAbH6nhg1v1LC9UI/tjDxuKsiQdS5eEYtIsp1xVhPnbqtkda+bh8bmc+ZBLQD6whGCUYkU/X9e/S4MmT9UtzDFZubd6cObMvojMaMq2m9ICJr9Qe6oaeGF1p7Dv6d0FUn9HUbycq/E4ZiDyziVuZuEABr8uCCD1b0uuX/Sp3FVTgo/LMiQE5I/D0JMr66vjrHJY/GGvMx6Nh4T/mXJRFL864m0h0hv8vO3rCRKuuDi3nYq9Ab+nJXIZalBpta6cflSuCH3Tubt9VPS2Ypt3CYSR62ibdsF9FSIssajX/7uS+pgf7GPVTnF9Ori7Rl+9fzIglNzrRoOjLPhdgZ4p8hIb0+Q0Y0hWjJ0/LI+RFvaAQxlfxj2mk3M4m/8kKhq5Im1tC/C3dt87NN00b47tuO7+6pbGe0JkeLXcMCmoc10mMQVSeJsXiQrouGbxTex0SQxM8FCnmn41q1vdwe3vf4q7doWxmzfKEugb5weIJCsp0oz3F2e6U/hJ3vPprmnXC6R/iy0JiNhnx9NXjJTr70clU5L4D0L+zf3UmJzM1YTu54ajXDmAhuaqMQHy93saX5DzkvJzpxFqOBkAvUeLvjlDHRdfl760y209daQpM8kL2MRqoR8Cj1R6nV13G26l87kKM9U34muX5Fie/dy9js3kmOfxI6ZpzGzO8pWh5p/5Ovx9wu/mcJRfBoVP3upB12/x6UxU8c/51qHVaQMzWeb1h3m4U0+WRDu9WwtdRYN72dq6TL0fx+SxLXvOEl2R7GflssZS4qw929kYqKPMeVpgQhXf7DrDxS5n5E9pn9XXcMx6DjdCU9YI5RronJVlVkFU5qCfP9AgGyfRINJxYZULacsKaW4sH9uUkFXfR+N71aja3HxaGGEjzKjXFkJ5zbEFrkk3e9kycNQNEc2WqIHaZqI3osrU7X8o1BPjUUt660MYAlJzOgOszJNS7Tf+zOnI0yPXsW+hOHn8cBmrNvlx//gLrm9Qtq3xqMyaOh4cAfBBhfR4j4aHU/TukNCastilGkmKcZsfGE3rb4a+f823aGhR3kMVcIAi423J3k3TZPuQ+dLJmRuH5RCCLpT6K0+hklSJva2+OZqKFFjFI1WjzH0IuFgPiFpKhbNezh09/X/LR1NgefkWqiP+0K4opCd28f4sg8YteNZfNEkKqNXo49OlqurjhTtBBNr9dXs3FOOWlIxOpLF9PCowYqrQ46TqNwuw6k+tFppgLQkC1d+53sYjEd+HEeCYsB8BQ2Yfetb+OjJvaSUJnDOjVNHrEDqCYXZ7fIx32H9r6rwdgRDTFqzRzZSikwGJtpMchjqjY5eXhxipKTrtbSNkJApnp9n1HNBRhInpCTIRk9b87NUVvwam3UcM2fGvTEX76jmo+7h7mTxvsIQ2+OOufdnJVjY5fbxlzF5LNQYUKtVtNcK7U+JwokpqPsNqc/Dfdvu47Fdj/HYiY8xIWECB+47idrGk6gPzCDZ7uIY7R/J1sdyElyRJA74FhKWDHSEi6gLTI+/kTqM0VGHv6tI7vmSpVOz2RORazFStCo6w4deQqMTtzNP+zp6dYWsQutTGbki6ykWb4tNdG/O0rE934o5ICZF8BhH/nyjG4Oct8bNnolmLlpSTP0HjfRu78ZpUrOrQE9GT4Ti1uG6N3WpWnK7AhQuvFOedP/V8TPWjTGi8puYUh1EOH525RuwRaJMagmz367BbVTRnhg3GPMbK/EZzbSnfHqiqVhvf1mURavfzdkZqUy0xxu/DVRMiSmmq+sTuaWCs2creTvPJxgKcF/bVoqbrGgn5nLF927jyc2Pot3UjNTQg68jnswpfwUqDcUZE7FMTGPbslizxgFsKQ6mnl9M3tjZqFUmmpufp6PzPfmxaFiHt30MlrR9lH5yH+r+3eWFSxKpJMLvt3tJbiinuuk1euxJPHbhjczujnBeh0R3NMTYrj5Se90kGTIOmdy/UfJT+rQe/lzzY8b4Y2WkUSnKXXkuPhiVSe9BOifCoypafIR2dbHI20GKM8I5fh3XnTGGF5/bxe8KRjYs84w66n1B3lrpIcMvccNUE2tSY9+VqDC5KiuFc7OS6V3VyqbXqlFrVcy9qJSqXi9J+51ktPuwShA0aXg/S8dTGWqyDFu4IfgENJ6OufUYUv2SnNLaq1PxYImek5rDTOn9d/LvoqTof4I3sghvJN7EdCSESNzDxQbeydTSM2CI9SPK74XVVUwFU7Q1BGwLeb3HKJ9PV6VFmR96Dk33K6SknUbZ6N+i1liHyRqIXBBxYUUibhrqXqPu5a0Ud5995B9DXU00/WE2uexYyEY7axUqTXw8hCdEo4uHJkOeZNq2XYgmOoXx80eRoN6H7v1YGNZ5yjIca08TLjPSbpiM1tq/2L/3cwJrV9AR/KN806DeilXzFlp9N722PxBotdCWpkG78AW8lbUkNiw6bIuMTyOoCqHv72elVlXhJBWbNPKa6FL5eF2/iWNDY8mLprBTV8P7pq0kBuNeNwe9TGYPE9hPIk7Ui26GBbE+YkcLxYD5Chowjft7eP3P20hMN3PxrfFmbF8WZ26tYL3zyJvRiZwZsau7Li+NSzKTDzGwxKnU1v4WCfapmEzxpolvd/Ry5e7+ChpJ4uOSQopTrOiMGp6qaMNS4UK9p09OPjscqXk2edz0Rg0FE1PwiiTDTh/717fKnb7nnlNMVnEikVAUvzdEOBjhwMY2dq1oxNd3+N5T6XlmPO4Int6AnI8yFLvBiTtgoWxcmMnz7YTW6wnUxVzTwr1rLk5EqnbKXrG6YJSCNCNJgSfwBiYTIaa0rKaLJN1fCCSeyZU5c8k8EMBlUvPetENd5ypJIjUgkRxRUWzS86E2IocYNREJuZBJpSKtN8x3lx2aWxDVqTAYtYRcn6/T+cHsKNDz3lSLnMw33lXBZM9+nk0/mahKLecHiGTqOeYojkATF6vvwaiO4vfHwk1m0ygmZdyIbsfLqOs3o+muxeNw0GvXoPX2kdQTQjfE2DvPUsTszcOba45EqsNA1uKdqBxR1OoE9r9YjKfby7jz+tA54oJ6n0XK7ivorZlHHWp6zGp6xWLbFUaSggR6RVfuKMflfZtUzZGFVM8d9wie6HZStReyL/NkHEGJrphiGxOtJrnKULRUmGY3k6TTMj0h/p0v3XyAba6Rd7ZCt8elSmCetIKTeJtCqrjd9xCn1to4ryHEmhQNfywzYkDFndlpdLa46esLMPOAG5sngqu/qkeo4x9pzsrhCBPAnbmBiNGJo+4kObl0JHyO7aJXBKa+T5cmWJvh5ancZHYmagj1Gxxi83JNportbVt4rVvLxap/USztllWdDj2eWFuToSQnH4c5fCbRSASXezdRyzp6mjpp2aHB3WSWk9CFRtG5BT8c+aA0bXK4UxdIwpdQQdPk+4joXEKBMf4cSYuzfiY6SxuBnjzad55L2rjl2HOq6Np5NanZWag1KmaeVjQoWurZ0ia+THrMHxLy9ZGediq+cB0GYwZWSwnUrUV6fCmtwUeISMM3Cq6Ubdg6pxDR+FBFtcMaah6MR+2nStXGFm01o21WRvt1JHvM2NTbMGuW446chSey5NCx1IbZSg1taicuQ5DzZqTRzNOYtWcwOvdiuv9eTkAV4vq8O5jdPk/Ox7oq+hTpoit2P6FoFrqblkHiZ5S7f04UA+YraMA4O7w8/av1aHRqvvu3BV9on6ORuLumlbtqh1dcZBt0shdka59X9pps7DdwhA7I1blpw3Y5AnH6tFY5aal2UjAhhaTM+CQd8IVxd/sxpZmYu76c/Fo/F9ZLdDeM3Hn2iyB/fLJs/HQc1KRvKCa7nlOvm0harlU2hLTG2OTR+cRu/Ptj3qms38xBbdTir+olUO3EvbZZLkH9NJ7L0/Gnstjua4wzwg0HAhS5o1Ra1UzriRDKtZJ7fD7G0UmDCsqvt/fInqmHGjpGDCuJsED+1BTmnTYKc4KeR25cKXt0VCYNzYkaMluGiwSKRc3zGdUbDks5aXlvMKvrADZ1DzuspXg1RqZ6d7F3tI2upOFVSVZ3mJxmH9mtR67lE9Fo6ZAkntkzPMfHog3Ix++L6MgxOzklax9GTZiIVsXWsQ76ErSEfWpCPg3mYdpB8YBLYuJMAoE2QiEn+dm/pLtyIuUbNuFsHt4qYChB18tEw3VMcixiTGLc9V9nVtFuVHNHmYFva/6EReXkx/o/yGGOxL5X0PW+SqZjNreMW0Rf5zu4wxHGpk3GYZ9IevIxcqnr0BYTbk8Fra2vck+rhVdDxw47hhypju9wP6Oowi1ZsKrim4vuaAoVzTfxzfLP1xFZ5Je1RSTaIxJTR1C+lZ8TDbKh4216g22cmnv14P3tvno2db6LaUIV2TPb0buz0AYScNQtQedLJWBpIuCL0uKtoab7APYEHYv4xeDrG7K340l9QW6DoIva5L5G3qS9OFWJ1KgnkKt1kkInUlDMQXGjRKxIgV49Ko2ESi2hP0jJewB/j57OcgeuBgsB52cXRUxLPpFi+xT8OSGyl0xBXb0Mw7rvymfNjnkzCDfn407fMtgpXuBunkBn+Sn4u4WHLeYlMlp1lExPZ9LiRHRmDyZTAdFoEKdzs5yf5/YcQKdNwOurk+87FBWFBddj0KeRUlVBX0UZgcpMPi9hfS9dBe/QnraeDZvPkO/7xS9+gb5xLfwjdlsQiI6mI3j3oUdRauUF5ycYDAauPOeb+Da1E/WHsS/MRZNspP2v2wi1evhbxjPMmHc8i/PmYH9gtmwM+W1nE+yJratp108ebCh6tFAMmK+gASO8Aw99LyZIdcWf5mOy/veVeD+NRn+QRRv3MdFmlhOC76tv51vZKZRajINVBztcPjlcJHRoBlyzompm94omOpvceJ3xBVKjVTN6VjrmBIPczr693jWsJPjTsKcYmXJiPu11feSMccjeEOF16W728PE/9hI6zPukF9ppE9UOhzmLR01Nw5ZkkCfF6ScXYOxv9Ojs8PGv326QvxPBkqvGUzwtTf474jPq+xvZDaXj0Z0EqpzD+i4N4FrdhPOtWBWYWt2LbYwT48nn0Pan+ATWtCiTM/Qx423d1hCZZ5ZgyLej0qrlv3mwGN0AQvX35wca5R3QKamJZFR6+ODxchZePJrSmRnohixMrTVO6nZ3Me2kfCSNmkggzOt/3EJnq5cCfQ3H2Z+mTW1jj3Muydo6Suw7CJRdTLV7Ejs2HqqInG9dwyLT36kLTKU1NJq20Gh80QRZkXlm0jNM1r4z4jF3JunwGzRktfpR9383UUmNNOliNPOvo9vZTt0jj7GuJYgvFFuoF6ZXMTGxFd2QnW9I0lPtn021f458DBqNn3kZ9zI2slnWvwla7ehGnwWTL6el6u90dSdgyLieUCDKvvWtdDW6iQgNkn6MqliFT0MwKucWWPQq/OkRAhVbCPtWkWDOpWXRDKz+NC46LhdbXhFqjQWjRo3LVS7rGH0oHc8Hzbs5IfAgD7er5LL432X5hOPlEFmB9IzT6OvbSXd3vJuvoDGaxm/CP8CggiRNgJNZxvxgiK69iXTXeehriyUIW5JsqIxdSEEb0YCa01O+z+FYlqFF6wqy0K2Sr9c9ni3s6dyMFO2VNWOS7afJ9xcb1LJCcGfQTb1rM5FoD1LUhcYwiUJzAdkGPdtDW+iiHk17CxG1gb4lBSQaq2nbU0BiTzdWTzJIdsL+PSDFDa2pSYspSZhGVd92Nnd9FMukM9twT0ujWKompWgfIa+GsF+Dr8tANKjBUeIkGlbLGkQhtw5nnZVA76EGiTnNh6PYKfd/8rakEPR+trfRkZPA5BPOYtyxS9HrTfjbnZiy+vN3Ai54+lykjIm0jf0llZvaqdy5nXDIR9LoZbibJ+FqjIWS1doAaaNrGDWnDndgHYHAkXv+DIYMAoHDyyCow0bS9l2ML7ESnTcNW8809M5D21sMY4KbA2k/GMy96e3JQKWOcMwxfyA1+Th458cQCcAJv0X66A80rY4bNEPRj0tECkUJHYh7dUXuUPqNU3GvbsL1SSNutZe2ApFDVkqwuhvpIF2rxDNGYZ3z+Qzrz0IxYL6CBozg8Z+sxtcX5LyfTyct/4s7LvE1C6+DmNRbKnvpbHCTkGpiyjmjyC1JpH5Lh1zWK0jOspA3PpmMogTZgBAeo+ptHbJx0VJ5aJhHLLwGsxa/+9MnFJNNx8RFOYyencmyR3fLpcOLLy+jeHq6bPx8GsJrItoxODIs7FzewLhjhMtWjS3JSG+bl+dv2yQbSzNOKSAl1yYbIqOmpspN9A5HZ6ObaCQqG0pH4g3zV/TQ+ffdmCalkvyNMYcoinY+uRttsomkc+NJ0ULUy7u1Dcc5pWgTDbI+ToI3wpJMhyzw9e8iPt9Qw+XTEJ6wvn/9jNT6/lLMX/eC3wmr/gRlp0Nu3OOw/rktbPnk8KG8g5lj/Qe9kSxamI7Z6iaatAdb0jxyx1vRRMqo2VRLT2eErn5PkMhtikYl+fsWhoUU6SPkX4vePB27SU+f/7OvCZ3Kx7H2R7GqO6gJzJTLy7v7Zf1HQqOFvHEphK33M273BRhUuljl21wtr6Un8uKkPHY8tYY9y4Wwlw5D4rWoVBqmn1LArNOGlxgPsHnLeXT1buVnjSa5suPmDB851nTUKj0+/6HaHSJyts+vYYc3przsk1RoIiryW80UN1rI6jqyfjJLs7+NXZ9MT7CN9drtVE4sYL71PiKVo+lzF9Cxdw9WfQGRSKes4jsUve0S1No0Qt6P0JmF5+vo9LAJSq2EpT50/hZ0umKyTem0hg8O9MSIhtsIul8eVtr+n6AzaUkqayFtchdZjp+gDuay+tnnmHn26eROSUGvT0GnLpU1lmp2dsrXzeg5OtJGeakrr6dig5f2ikPDmLaczSSN/oBoWC/nkZlTDsjeoM88Hl2yrFY+YLiIYobs7Ivw+eqoq3uYnNzLqKj4PU7n1mGvy0g/k6ysCzCbC9H47fQ8v59AXd8wkb+Ek4vQJBqQ/DGxwba2t+jo/Ii01JPo6VlHY5NQnIbc3G9ht00gPf30wXmt+7l9eLd3oE02knDaKDyV9fhXxz1NIjgcTG9A60xC4/90b0rA3CLr0+i8KXiSy8k+aympaYs4migGzFfUgHn5zi1yrseJV46jZEZctvloIhYIkR9Ss70Td49fXuB72730dR6dSUMsPtmliSRnWwkGIpTOTJdDR8KjMdQjs/TqCZisOt59eBdGq56zfjhl0Os0kGR3tMJoLtFkUavGbP/verVCnT7ZEBFek68V3m748Dcw/VuQNeVTW14885sNspE96/RCuWpuAEeqFsnZTI52C8GoiQP+hf/RIZntEkGPl3Dk0HygoQijJy0tzKzArWx0X0hLaOwRvX+Gbh9TLa9QYNiEKn8u/oQkvAda8ffdiCPhX5hOOg0mXQjRCH3bP+HRux4EKYDediFqbWxHOfQ6FVOlMLpEqa0/0MzWVU/xTGMda3Tr+dXMGzh/7JXy8zo6P2F/917eLP8L271aWY9IH1ST4tQT1khkdBtJ7dWT1mPAEBpuhHqMYZpT/LhNYcx+DTkdJix+LUlZOXQ3N2LW2skyFVPl2i4vOiOikrBle4j4NZi0QRIT1OjycrEVSDgsl5Ng3UH7liw2rB++y0/QNJOp30t9YAre6KeLAMpqxJoQqujnN4IiwSpCnlhH7KFodDoi4TAzTz+HaaeeRdP+cmq27WHXR6/Jmi1Dk9SM9mk4sqcy+YQZ+M0309OzUlaaNhjS6epag7+rAHfrOPrqZhPyHD50OBSdpZOEgrWY08sxp4hu1mpstjJUIu9Ga8flLicU6iUz4yy83mpSUhZjNhewe88PZGXciRMeQqsVi784TjE/RGVD+GBEeLOy8k7S00+lo/NDTMZsCgquPeR5vj1ddP2zHPtJBXJY51PHNOJnzdpjCA3RI8rPv4b8vO/gcu1GFdLh2dRCoKiObu8K+pzbGLXiL2iDiXIoqn7mbXI1lZBJKFh/K58H7ZkBMmYLWYmjh2LAfEUNmI//uZe9a1rkcMaEhTmyV0Is4n5PiJ5WLyki7yIQob68m6b9PXJ4RCStzjy1cJiXQkykQmfE4wxQtbVd9q5o9RrcPQHZUzFSyEW8XoRqhEdFeCnEa4SLfdA7clwudbu6DptMK0I7k47PJTXXJifOHowwlMTxFk5KQW9UGp1/XRnwpIlY/6a3a+Tv9LhLy4YZh8HWGh79Tdy4ySiyy2E530FJxJmjEgiLxGpPiFFTUtEZtWx+p5Zjzi+Rz/9w2M9HT1RSuaV98PnCGBXntzB688clMfuMUchaiyvvpDeayzMvDM8XmHZcMtbeTfisYyhJ2YdtzU/xRBzYtYfqw3waf685mV6/i0SDEZ3GRGfAIKvyavRJaAyzUWuHe90GqHXsonXeFubnzmNL2xbWtcR6QelCKgpaLIxqspLRM3KOht5hp71Qzc5IJd32IL22ECWOEm6ceiOrGlfxQvlz5KnSeembb6NX63n3vrvZu/oT7Knp9HXEGu0JRO8mR5GT4pI2coNuUrxWLN1DPr9Q982bA+17wd1KRNKyou87aJJaSAj1EvKmMM3yMmpVFG/idNy5p1MVmkmv00hb5Tp6WvZhzziDCQvzsSZpsad3YTDk8cqdewgHo/KcIsKxjkwjGUV6OtsqSSvQ4kiahYpeylctw+yYQEO5mMM0ZAq1ScJEIxr8ztUk54xCUpXSUN6KyWaVz4GDkYUXQ1Vyt3HVkP5ShdMiSMm/w9U4DU/r+P58lUMxpRwg5E4j7I9V1KjUIdLGVKIyb8aSsYui0Weh1znweKswGnPIz7tqWA5TINAhGwhW69Hv/XM4Iu6g7G05XHh5KBUVt1HfEOt6/tmosPjGklF7Odr5UVpCz9HXFxNtzKv8MabqcfTkfITBkY151xhC+l50QyqRBlA7tDhOLcU07vO31fg0FAPmK2rAbHu/nrWvVH7u12WPTiQl2yZXMgV8IdzdR5YwmZxtoavJI4dcZp85ajAHROBzB1n26B65sueEK8eh02uIRKI423xyVU5Ho4uxc7PkyUQYVl920rHCV4v68i52Lm/k2AtKsaeY5HOns94tn3P7N7TKBm9CalwteKiHUHhVBm9HonTUu0krOLJQXvnqZtrq+hg7L4s0Ef4bOrmL6Wz7s5BcLFQHwd0Gvl5498exx7Omxhbzxk2ivfSw990WmsbHlYce79CWAhpD3PsjypWjwsUvwe6Ut3GqN5PTmUiSMxYeUkuHD6mm5OYz94JLGDVtJmp1bJde66wlwZCAwxjL0QhEApzyyimyKKO4/+czf85J+UvwOnuxJaVQs3UTHzx6LxPKUinWvICjs4+DW3P59dl0+1LRRl2kaqvieTrGhFgYUWDLgtlXw8QLwZomV1EJz23Vtg7qdnXKC71a7cHZYZI3WQKxSXFkmGXjpWhKKik5VnnjFAlJ1OzokDdQKXk2eZPVUuWkcW+3/L3/u1gS9LLHV6VRYXMY6evyU79neKn9wSSm68iesgtP9DkM9haSk+dgNo9j5+tz6GuTOOX7uWTkjxwi/DoSCvWxb//NJCcdS59rF01Nw4UsB7xBuTmXk5d3FQZD6rAEc+HF0WotSBGJvpa9mNNFs2E7P3riOlojtdxR/3P5+ky/aRp9y+rkQoGmuT7KUsai/RwKxUeCYsB8RQ0YkQD79v07P/N5YqIZNS2N5CwrG94Y3qTvYLJHO/C5gnK+SlKWhblnF8sX+0A5n4LC/zRiijuwLGbUpBTH73vrB7DlCTjpDphwPt1OH0/8IF6FU2iHev9EIqEakGL5AnZdFG9EjcgLTh81hlAYuutrD5vToVInoDFMQKMfI7cKsKeEyBlTwKzTi+XNhLPdhyVRj2GEfChh2D237SXu2X439kAyLkM3J2mizO/0szuYT08km1AkAZ9aGFC7yQrouLDTgokptIdK6XbFvQfD0EaYdmIuhaH3qYuG2KJKJeCB4shYfG0SoWBU7tl2tFHrDrEZZSkF4aETi6bQe3J2+uR5y2DSyvOaqBoURQFDDd4BhMdn2wd1g2FOQ2I9eaNLmXDsODm/T3iVxcLc0fk+jsRZ6PUxL4FsSIm2CP+GttTXyZjZsvV8OQdo4oSHZakDs7lIHg+N5vOJzl3/0fWsaFxBti6TiZmT6Ah04gw66fH30Onr5PEljzMjY8ZRPX7FgPmKGjDCzf70r2IuZlEp0tHglmPrYhcrEmGFe92RaWH8sfHEso1v1bDprRo5aVPsarU6NaPnZGJNNMiu+ezS4Yq9CgoKnx9xHd5zYUwS/ayf/prCinvZv9VJkqaWFS026r2Hl9CXReg1qag0KegNERwOC8X5KRDUkZEJH2wai987ciWduK4XnJvN6OkpBPYul8O4tXV66tuSCUT+80RbIbonVHw+D0JAsjOhnuqEnRR0TyDJm8Wm3LfZl7aeMe2zmVt3lvy8oNaHPhw/xqgqQmtKJSbJgqMz1t9oe9ZH8ut6Te3cOPUHjNo5lz2rmg/5m7ZkI2f+YIrszTtSRKjxg8f3yGO48BIRajx6mzYRjhfvL4yh/2X+uvWvsiDoSJi1Zn4282ecVRI7H44WigHzFTVghPX/4LXL5f+ff/MMOZ/kM18TiVK+poXM4gTZI6OgoPDfoa26ks6GOsYeexwqZ4PcM0eEojrI4J+bRLhKw5yZBfSUr6HFZ5Mbeiak+qgPXM40wy7m2+K9kIbSpJ7HGy03YTW6CQUlfJGE//hYgyYnKnTofPGwl0fXS5e5herk7ViDDprtlTQnVJDuzme+7xS0ZhXNbe2Ma5s/+JqoJkxUFaXOXo41mEibrVY2Orz6/tJaCfQRI0Ft3MuU7irAaYz1D1p84DJCGj8b896SjRRJFVtSEnypePROStOKZYXifd375PvvGPdnah+LGVRCnFLkzg1gTzVxwc0zRsyhcwVdWHQW1CKh9ygSDkXkisTeVq/829Xlp6fVMxguCxd2M/mMLPJDpXKYzNUdIOgL43UG8DiDcvhMCGmKisiDdb96231yXtfXOSfwzao3+cXquL7PwtyFtHnauHTspZxYcCKGo2g0DqAYMF9RA2Ygd0AkO46e9Rm1/goKCl8ZWqsq5EqZ1Nx8eHwJUn2sq7QqYzz01IpGOMNfkFwiSm5A5Lh0V+ONJGBQe3BF0tjnW0iitoUM3V62e85gj++kwZdZ9b2U2reRP3cCCbkZOBvbyDjudPas62Bd1Say55g4ZWz8+WIKb9zXgzFVxXfWXEFfoI8fzfgRE1Mn0uBqQKfWYdfb5eRgwfb27Tz70etMSZvMorJjSM9w0Od3860PL6Oip0J+ztWTrqYksUTOw+n2d8uvX1KwhBf2v4BJa5JDCGua1nBMTkwP6dSiU0k3p/OP8n9w//b7OSH/BE4uPJmy5DKSjLGKprs23SU/Lm7/znGv3K+sdF4a5U37qe9pJPRKFlqviZL5KWQfp6eiuo797KQr3ElzTTfhNh1p6gwWFBxLgb1AjgKK6kfhfREyCyLJXISdRgo3DSDytMorKtlTUYm7OUKgA1StFkRR1X+KNckgGzHCqPH2BuTQ2ED+ztxziwn6IrKRJPS1hPET8IZlHaspJ+QNhhDFdynyijrq+/ALgcgyx5du/FT3VnPG6zEdmR3f3HHUDciRUAyYr7ABo6Cg8DWnrwVW3wPTr4S0/uokYcSIxFidOZZvM5Ax6++Dv58AHftg/Lkw8ypIKYXOClmCPbL1aVbumy2HgxdcOQuT3XxEVScjITq3CzT9icGfB5HPICqfhDGi0/wHGkXRkGw0HUwwEuT8N8+nyilKlA8ly1nC6eXX85+gSgnSl96MBSuSR4tP8tIb6kET1GNxO7D7U0Z8XVDjx6Nz0mtqk71GPeZWurPqKKCECetORR3VENB46bA2YAxZ8en6aLPW4de5KWufS7L3UCE38fULQUxhqHwWIu9HhKsOruIzWLRMXJiDNckoe31EOEtodGm+4PydNU1rZMNTGKRfBIoBoxgwCgoKXxWCHujYD9mfvxnf/yfEQnj1h/FEaUGaKU3uIJ9iTsH3VjK5XbFKr4g6hKa/95JKL8mVkK1NPXLIx691E9B6SfPEBAx9WjeaqBZ99LMTVKNE8Ftc9Dqaadc2UZG4hS5jC2nmNJYWLmVK+hRSTCmMTx4vG4JCVuKdj1fxIL/Hr/MwKmHUMCPMFLRxQsVlpLsKacus4Mx5S8jISpJDS8I79O7Du+WKKdHqQ4SThB5Xar4Nk0UnV+uJXJuDEfmQojR9qK7W0MeE+KZarSKnLIkJC7OHCXYKL5OnJ9Avq+GX0w5EJWlHQ0xqQ+RRiorTz8tQU+G/XZGqGDCKAaOgoKDwlUIsN7dtuI0GdwP3LLhH9taIEvEB9tfV8MmDVZRMzGLRN8po2Nst69fljHbEtGaiEa796FrWNq+Vn28MWQhoffL/MyI5nFx+NVq/iebU/UQtAXI7yzCna9Ekh6lSl3PM5OnMKZmJxRhPzPWEPHT5usizf3pDQvEcUeIu8nleqXiFfHs+Vr2VQnuhHKoTx9XujekZnZh/IlW9VYSlMBaVjTmhxVxy4lmkJAwXCBSGxUdP7ZWroiYtzpMFPoWhJutsReHDp8qp3Bx7TxFuEnk5whNzMJYEPWqtWpbEEJVtA+GrkRBGVUKaSTZ6XF0+0grsTF2SL3uLRO6PpzcoS2x01rvkfB/hGRIClwPeIfF64TESXiERClt0SZl8bEcTxYBRDBgFBQWF/3eIUNdPVv5ETui9fvL1ZFuz5Vwdm94me2GEBo0IvQi+SO0qkaR83pvnHfZx4eF5cPGDlDrirUaGIowzkVvU4e2Qc44yLLEcSZFUPFCZJQye9x7ZLRs6o6amsuPjRlk1+3AMtOwQ3prkHOtg4vHRRPRkG3fMZ3eV/zwoBoxiwCgoKCgofIG8eOBFfrvut0xLn8bl4y6XK6f6gn38a9+/qOurk58jwlMiDCWSYYX3p85VJ7en6A3EGngOkGnJlH+KEovQqrTyc4WB0+ntlN+3N9BLcjSD4oYZWA1WbCRgypFQJQWZUFrKVPtMLHYjTQd65DCSSHIOBSOsfblS7ocnlLAT08zsXtk0qIQt9MPMdp2sgp1eYJfDXkJvx2TXy7IdIsFYeIC2f9SATh+T88gotGOyHd0WLooBoxgwCgoKCgpfMK2eVlJNqcMSqZ0BJ9d8eA27Ond95utFWbIIrYlQ1X9CcWIxf5j/B9njI7xW4hiSTcmEo2HcQTcRKTKYg9RQ2YUqIUiiw0aONeeIPVfCqBItLv6TpO+RUAwYxYBRUFBQUPiK0Ovv5fcbfi8v+nMy58j3iZyaUYmj5PtEyEhU+ojQmMi3eXjnw7S4W8i158q/xySNkXNuhAdHhMsSDAly2bt4TXlXOeua18n/FxVga5rXyJ6ffxfx/nm2PNmYEoaPaBUg/i9+i/d1h9z4w375scdOfIyZmfGO9keD/xcGzP33389dd91Fa2srkyZN4t5772XmzCMbKMWAUVBQUFD4XzWWfrv+t3xQ94F8W4Sg7Aa7rOkzoKArvCzCy+ML+wYfF8aJ8NB8Hm6edTMXjrnwqB7/ka7fX1l5wOeff56bbrqJhx56iFmzZvGXv/yFJUuWsH//ftLSjqw9uoKCgoKCwv8aicZE7l5wN6uaVsleGeG9Ed4TkTsjPCl6TTxnZeh9QlxQVE+JVhIi3CUMHZF87A17CUVCsuclx5Yje4lE6Eg8JsJSXxZfWQ+MMFpmzJjBfffdJ9+ORqPk5ubyve99j5/97Gef+XrFA6OgoKCgoPD140jX769kO85gMMiWLVtYvHjx4H1qtVq+vW5drBGigoKCgoKCwv8uX8kQUmdnJ5FIhPT09GH3i9v79sUagh1MIBCQf4ZacAoKCgoKCgr/P/lKemD+HW6//XbZ5TTwI8JNCgoKCgoKCv8/+UoaMCkpKWg0Gtra2obdL25nZIzcwfnnP/+5HC8b+GloaPiCjlZBQUFBQUHhi+YracDo9XqmTZvGRx99NHifSOIVt+fMidXPH4zBYJCTfYb+KCgoKCgoKPz/5CuZAyMQJdSXXXYZ06dPl7VfRBm1x+PhW9/61pd9aAoKCgoKCgpfMl9ZA+aCCy6go6ODW265RRaymzx5Mu+9994hib0KCgoKCgoK/3t8ZXVg/lMUHRgFBQUFBYWvH19rHRgFBQUFBQUFhU9DMWAUFBQUFBQUvnYoBoyCgoKCgoLC1w7FgFFQUFBQUFD42qEYMAoKCgoKCgpfO76yZdT/KQPFVUpPJAUFBQUFha8PA+v2ZxVJ/781YFwul/xb6YmkoKCgoKDw9VzHRTn1/5wOjGg90NzcjM1mQ6VSHVXLUBhFoteSoi/z30UZ6y8GZZy/GJRx/mJQxvnrP9bCLBHGS1ZWFmq1+n/PAyM+dE5Ozn/t/ZV+S18cylh/MSjj/MWgjPMXgzLOX++x/jTPywBKEq+CgoKCgoLC1w7FgFFQUFBQUFD42qEYMJ8Tg8HAr3/9a/m3wn8XZay/GJRx/mJQxvmLQRnn/52x/n+bxKugoKCgoKDw/xfFA6OgoKCgoKDwtUMxYBQUFBQUFBS+digGjIKCgoKCgsLXDsWAUVBQUFBQUPjaoRgwn5P777+fgoICjEYjs2bNYuPGjV/2IX2tuP3225kxY4askJyWlsaZZ57J/v37hz3H7/dz3XXXkZycjNVq5ZxzzqGtrW3Yc+rr6znllFMwm83y+/z4xz8mHA5/wZ/m68Edd9whq1HfeOONg/cpY3z0aGpq4pJLLpHH0mQyMWHCBDZv3jz4uKiTuOWWW8jMzJQfX7x4MRUVFcPeo7u7m4svvlgWA0tMTOTKK6/E7XZ/CZ/mq0kkEuFXv/oVhYWF8hiOGjWK3/3ud8N65Sjj/O+xcuVKTjvtNFn1VswTr7322rDHj9a47ty5k2OOOUZeO4V675133vlvHvHwg1M4Qp577jlJr9dLjz/+uLRnzx7pqquukhITE6W2trYv+9C+NixZskR64oknpN27d0vbt2+XTj75ZCkvL09yu92Dz7n66qul3Nxc6aOPPpI2b94szZ49W5o7d+7g4+FwWBo/fry0ePFiadu2bdI777wjpaSkSD//+c+/pE/11WXjxo1SQUGBNHHiROmGG24YvF8Z46NDd3e3lJ+fL11++eXShg0bpOrqamnZsmVSZWXl4HPuuOMOKSEhQXrttdekHTt2SKeffrpUWFgo+Xy+weecdNJJ0qRJk6T169dLq1atkoqLi6VvfOMbX9Kn+urxhz/8QUpOTpbeeustqaamRnrxxRclq9Uq/fWvfx18jjLO/x7i2r755pulV155RViD0quvvjrs8aMxrk6nU0pPT5cuvvhiee7/17/+JZlMJunhhx+W/hMUA+ZzMHPmTOm6664bvB2JRKSsrCzp9ttv/1KP6+tMe3u7fNGsWLFCvt3b2yvpdDp5ghpg79698nPWrVs3eMGp1WqptbV18DkPPvigZLfbpUAg8CV8iq8mLpdLKikpkT744ANpwYIFgwaMMsZHj5/+9KfS/PnzD/t4NBqVMjIypLvuumvwPjH+BoNBnsQF5eXl8thv2rRp8DnvvvuupFKppKampv/yJ/h6cMopp0hXXHHFsPvOPvtseUEUKON8dDjYgDla4/rAAw9IDodj2Nwhrp3Ro0f/R8erhJCOkGAwyJYtW2T32dB+S+L2unXrvtRj+zrjdDrl30lJSfJvMcahUGjYOI8ZM4a8vLzBcRa/hZs+PT198DlLliyRG4vt2bPnC/8MX1VEiEiEgIaOpUAZ46PHG2+8wfTp0znvvPPkMNuUKVN49NFHBx+vqamhtbV12FiLHi8i/Dx0rIXbXbzPAOL5Yn7ZsGHDF/yJvprMnTuXjz76iAMHDsi3d+zYwerVq1m6dKl8Wxnn/w5Ha1zFc4499lj0ev2w+USkD/T09Pzbx/f/tpnj0aazs1OOww6d0AXi9r59+7604/q6dwwXeRnz5s1j/Pjx8n3iYhEnubggDh5n8djAc0b6HgYeU4DnnnuOrVu3smnTpkMeU8b46FFdXc2DDz7ITTfdxC9+8Qt5vL///e/L43vZZZcNjtVIYzl0rIXxMxStVisb9cpYx/jZz34mG8/C0NZoNPJc/Ic//EHOuxAo4/zf4WiNq/gt8pcOfo+BxxwOx791fIoBo/Clegh2794t76QUjh6itf0NN9zABx98ICfMKfx3jXCx87ztttvk28IDI87phx56SDZgFI4OL7zwAs888wzPPvss48aNY/v27fLmRySeKuP8v4sSQjpCUlJSZMv/4EoNcTsjI+NLO66vK9dffz1vvfUWy5cvJycnZ/B+MZYiXNfb23vYcRa/R/oeBh77X0eEiNrb25k6daq8ExI/K1as4G9/+5v8f7HzUcb46CAqM8aOHTvsvrKyMrmCa+hYfdq8IX6L72sootpLVHYoYx1DVMAJL8yFF14ohzYvvfRSfvCDH8hVjQJlnP87HK1x/W/NJ4oBc4QIl/C0adPkOOzQ3Ze4PWfOnC/12L5OiDwxYby8+uqrfPzxx4e4FcUY63S6YeMs4qRiQRgYZ/F7165dwy4a4W0QJXwHLyb/ixx//PHy+Ihd6sCP8BIId/vA/5UxPjqI8OfBMgAiTyM/P1/+vzi/xQQ9dKxFKETkBgwda2FMCsNzAHFtiPlF5BoogNfrlXMqhiI2lGKMBMo4/3c4WuMqniPKtUXu3dD5ZPTo0f92+EjmP0oB/h8soxbZ108++aScef2d73xHLqMeWqmh8Olcc801ckneJ598IrW0tAz+eL3eYSW+orT6448/lkt858yZI/8cXOJ74oknyqXY7733npSamqqU+H4KQ6uQBMoYH70yda1WK5f5VlRUSM8884xkNpulp59+elgZqpgnXn/9dWnnzp3SGWecMWIZ6pQpU+RS7NWrV8vVY//r5b1Dueyyy6Ts7OzBMmpR8ivK+n/yk58MPkcZ53+/WlFIJYgfYRLcc8898v/r6uqO2riKyiVRRn3ppZfKZdRiLRXXiVJG/QVz7733yhO/0IMRZdWi7l3hyBEXyEg/QhtmAHFhXHvttXLZnTjJzzrrLNnIGUptba20dOlSWUtATGQ//OEPpVAo9CV8oq+nAaOM8dHjzTfflI09sbkZM2aM9Mgjjwx7XJSi/upXv5IncPGc448/Xtq/f/+w53R1dckTvtA2EaXq3/rWt+SFRSFGX1+ffP6KuddoNEpFRUWydsnQslxlnP89li9fPuKcLIzGozmuQkNGSA6I9xDGqDCM/lNU4p9/33+joKCgoKCgoPDFo+TAKCgoKCgoKHztUAwYBQUFBQUFha8digGjoKCgoKCg8LVDMWAUFBQUFBQUvnYoBoyCgoKCgoLC1w7FgFFQUFBQUFD42qEYMAoKCgoKCgpfOxQDRkFBQUFBQeFrh2LAKCgoKCgoKHztUAwYBQUFBQUFha8digGjoKCgoKCg8LVDMWAUFBQUFBQU+LrxfxkvqpupqoMkAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 简易的市场模型\n",
    "import matplotlib.pyplot as plt\n",
    "def simpmarket(win_rate, play_cnt=1000, stock_num=9, position=0.01, commission=0.01,lever=False):\n",
    "    my_money = np.zeros(play_cnt)\n",
    "    my_money[0] = 1000\n",
    "    lose_count = 1\n",
    "    binomial = np.random.binomial(stock_num, win_rate, play_cnt)\n",
    "    for i in range(1, play_cnt):\n",
    "        if my_money[i-1] * position * lose_count <= my_money[i-1]:#资金充足\n",
    "            once_chip = my_money[i-1] * position * lose_count\n",
    "        else:\n",
    "            print(my_money[i-1])\n",
    "            break\n",
    "        if binomial[i] > stock_num//2: #一半以上股票上涨\n",
    "            # 三目运算\n",
    "            # 如果lever == False结果为假，不加注\n",
    "            # 如果lever == True 结果为真，加注\n",
    "            my_money[i] = my_money[i-1] + once_chip if lever == False else my_money[i-1] + once_chip * lose_count\n",
    "            lose_count = 1\n",
    "        else:\n",
    "            my_money[i] = my_money[i-1] - once_chip if lever == False else my_money[i-1] - once_chip * lose_count\n",
    "            lose_count += 1\n",
    "        my_money[i] -= commission\n",
    "        if my_money[i] <= 0:\n",
    "            break\n",
    "    return my_money\n",
    "\n",
    "trader = 50\n",
    "#概率50% 无手续费 参加1000次\n",
    "_ = [plt.plot(np.arange(1000),simpmarket(0.5, play_cnt=1000, stock_num=9, commission = 0)) for _ in np.arange(0,trader)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = plt.hist([simpmarket(0.5, play_cnt=1000, stock_num=9, commission=0)[-1] for _ in np.arange(0, trader)], bins = 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ergIAAHgQghCoGlaWBgBQNwQhAAVMnwcAUBcEIVC1pk2beroKAADgQQhCoGpoAQIAUDcEIVC1w4cPe7oKAADgQQGefHEATwag06dPU3l5uaerAgAAHoQgBKq0evVqT1cBAAC8ALrGABQwZggAQF0QhAAAAEC1EIQAAABAtRCEAAAAQLUQhAAAAEC1EIQAAABAtRwOQr/99huNHTuWmjRpQhqNhlatWmXy+J/+9Cdxv/Jy9913m5S5efMmPfbYYxQZGUnR0dH09NNPU2FhoUmZo0eP0qBBgygkJIQSEhJowYIFVeqSlJRE7dq1E2U6d+5M69evrzIDaPbs2RQfH0+hoaE0YsQIOnPmjKNfMgAAAPgoh4NQUVERde3alRYvXmy1DAefq1evGi/ff/+9yeMcgk6cOEGbNm2itWvXinD17LPPGh/Pz8+nkSNHUosWLejgwYP0zjvv0Ny5c+mf//ynsczu3bvpkUceESGKF8cbN26cuBw/ftxYhsPTRx99RJ9++int3buXwsPDadSoUVRaWurolw0qmz5fUFBAeXl5nq4OAADUMo1Ug4VTuLVn5cqVIoAoW4Ryc3OrtBTJTp06RR06dKD9+/dTr169xH0bNmyge+65h37//XfR0rRkyRJ6/fXXKTMzk4KCgkSZV199VZwzNTVVHE+YMEGEMg5Ssn79+lG3bt1E8OEvi8/117/+lV5++WXxOH+wNW7cmJYuXUoPP/xwtV8fB7KoqCjxPG69At/BwdoSDsp9+/alN998Uxy/9tprxu9BAACoGxz5/K6VMULbtm2jRo0aUdu2bem5556jGzduGB9LTk4W3WFyCGLcZeXn5ydabeQygwcPNvkA4g+otLQ0ysnJMZbh5ylxGb6fXbhwQQQpZRl+U/hDTi5jTqvVijdPeQH10el0xtvmXbYAAOBbXB6EuFvs66+/ps2bN9P//d//0fbt22n06NGk1+vF4xxOOCQpBQQEUGxsrHhMLsMtN0rycXVllI8rn2epjLl58+aJsCRfeGwSAAAA+C6X7zWm7HLiAcxdunShNm3aiFai4cOHkzebNWsWTZ8+3XjMLUIIQ+qj7C3m7l8AAPBdtT59vnXr1tSgQQM6e/asOI6Li6Ps7OwqXRE8k4wfk8tkZWWZlJGPqyujfFz5PEtlzAUHB4u+ROUFfE9JSYmnqwAAAGoJQjwAmscI8RR21r9/fzGYmmeDybZs2UIGg0GM35HL8Eyy8vJyYxmeYcZjjmJiYoxluPtNicvw/axVq1Yi8CjLcAsPj0OSy4A67dixw9NVAACAuhqEePBoSkqKuMiDkvn25cuXxWMzZsygPXv20MWLF0UIue+++ygxMVEMZGbt27cX44gmTZpE+/bto127dtELL7wgutR4lhd79NFHxUBpnhrP0+xXrFhBCxcuNOm2mjp1qpht9t5774mZZDwL6MCBA+JccpfGtGnT6O2336Y1a9bQsWPH6IknnhCvoZzlBupjq0WIu8XQNQYAoB4OjxHisDFs2DDjsRxOJk6cKKa980KIy5YtE60+HDp4PaC33npLdDvJli9fLgILjxni2WLjx48X6/3IeKDyr7/+SlOmTKGePXuKrjVeGFG51tCAAQPou+++ozfeeENMcb7tttvE9PpOnToZy8ycOVNMsefncX3uuOMOEZ54AUZQLw7tAAAANV5HyNdhHSF1rSHEOLj36NGD5s+fL45feukl8T0AAAB1h8fXEQKoy+OHlOsIAQCAb0MQAjAbP/TLL794uhoAAOAmCEIAZk6fPm28jcHSAAC+DUEIwIxy2QYAAPBtCEIANqBFCADAtyEIAdQinrGAiZkAACraawwAKqxdu1asu8VrXvG0fAAA8D5oEQKoJRyC2O7duz1dFQAAsAJBCMAGdGsBAPg2BCEAAABQLQQhAAAAUC0EIYAayMnJoffff5+Sk5M9XRUAAHACghBADfz6669ic7+NGzd6uioAAOAEBCGAGtDr9Z6uAgAA1ACCEAAAAKgWghBADWB6PQBA3YYgBFALtm7d6ukqAACAHRCEAFzc4lNSUkLbt2+vlfoAAIBrIQgBuDgoWRtAffPmTdq3bx/pdDo31AwAAOyBTVcB3OSjjz4S18XFxTR06FBPVwcAANAiBOCYI0eO0Pnz52vUnXbp0iUX1woAAJyFIARgp2vXrtHKlSvp66+/rtEYIj4PAAB4BwQhABu2bdtmvJ2Xl2fXczQajc3HCwsLa1wvAABwDQQhABsOHz7scIDB2kIAAHUHBksD2GnVqlVV7isvLzc5vnjxIp05c8aNtQIAgJpAEAJwUmlpKV2+fNnkvqVLl3qsPgAA4Dh0jQE46dixY56uAgAA1BCCEKiKK8fvcIuQPeLj4132mgAA4FoIQqAq9s78skdRUZFLZpEBAIDnIAiBqmi1Wpedi7fLAACAug1BCFTF3lYce4SFhdlVLiMjw2WvCQAAroUgBKriyg1Pw8PDXXYuAADwDAQhUJWaBCE/P9Mfl6ysLLue17x5c6dfEwAAaheCEKhKQIDzS2dVN+jZWsgyD1AAAOA98BsaVEWv1zv93IiICOPtgoKCKo8bDAaLz8OsMQAA74UgBKpSkyDUqVMnp2efYf8xAADvhCAEqlKTMULKlp1r16459DwEIQAA74QgBKribIsQd3uVlJSYbK5qqYy1IGTtMQAA8Cxsugqq4mwQ+uKLL+jKlSs2x/1kZ2fb/bqFhYWUk5NDCQkJTtUHAABcA0EIVMXZrjFlCHIUhybzIPT++++LVqKJEydSq1atnD43AADUDLrGQFWcCUKWxvc4MhOMy5q/rtxVdu7cOYfrAwAAroMgBKriTNfY8uXLa7zlhrXXxSBqAADPQhACVXGmRejs2bNV7ktOTq5yH4/7sbdFSPkYAAB4DoIQqEpN1hGqzrp16+weIyRTzkQDAAD3QxACVXHlpqvmbK0tZC0IXb58udbqAwAA1UMQAlWpzRYha8y7xlq0aOH2OgAAgGUIQqAqtdkiZO/rXrp0ibwNr4FUWlrq6WoAALgdghCQ2luEeDNV5YaqrpaWlma1JcobBktnZGTQJ598QvPnz6fy8nJPVwcAwK0QhEBVmjZtWmthJDg42OoUeWurTntDEOKgJtu9e7dH6wIA4G4IQqAqTZo0sRhGYmJiai0IsdzcXPJWyn3QHNlMFgDAFyAIgerx4OXx48fX6mtYWzjRG1qElEHo+PHjHq0LAIC7IQiBqlha9LBly5YUHR1NoaGhNTq3rR3mrT3m5+f5H8GysjJPVwEAwGM8/1sYwI3+/e9/W22t4UBUE7a2y7AWNryhRejQoUOergIAgMcgCIHqyQHG39/fJeex5Pz58xbvb9++vdUxRd9++61bNmX1xNpKAADeAkEIVK9+/friul+/fjU6jzMbqFobnLx69Wqxx9k333xTozoBAIBtCEKgWs888wzde++91Lp1a3EcEhLi9iB05MgRi/dfvXqV3KV79+5uey0AAG8T4OkKALgaB5Jly5aJYPPwww9bLdesWTNx8cZBx+5c5bmmXYIAAKpqEfrtt99o7NixYj0WHui5atWqKh9Cs2fPpvj4eDELZ8SIEXTmzBmTMjdv3qTHHnuMIiMjxWydp59+uspsnqNHj9KgQYPEh1lCQgItWLCgSl2SkpKoXbt2okznzp1p/fr1DtcFfM+NGzfo4sWLlJqa6tD4F2WLTteuXV06a8yZ1iJ3OXDggKerAABQd4JQUVGR+JBYvHixxcc5sHz00Uf06aef0t69eyk8PJxGjRpl8hcuh6ATJ07Qpk2baO3atSJcPfvss8bH8/PzaeTIkWJ9l4MHD9I777xDc+fOpX/+858mK+A+8sgjIkQdPnyYxo0bJy7KdVDsqQv4nuvXr1sMIjz42F5hYWEurRO+5wAAfKRrbPTo0eJiCX/YfPjhh/TGG2/QfffdJ+77+uuvqXHjxqLliLspTp06RRs2bKD9+/dTr169RJmPP/6Y7rnnHnr33XdFS9Py5ctFN8OXX35JQUFB1LFjR0pJSaH333/fGJgWLlxId999N82YMUMcv/XWWyJYLVq0SAQfe+oCvmn79u1V7svMzBSDj21Rttp4UwsO18UbptkDAPgilw6WvnDhgvjA4S4oWVRUFPXt25eSk5PFMV9zd5gcghiX54XluNVGLjN48GARgmTcksN7IuXk5BjLKF9HLiO/jj11MafVakVrlPICdY+lQOPo+B1nghB/b9UGbwplAAC+xqVBiIMH41YXJT6WH+PrRo0amTweEBBAsbGxJmUsnUP5GtbKKB+vri7m5s2bJ8KSfOGxSeAbQcieMKEs40wLjDK4AwBA3YDp8wqzZs2ivLw84yU9Pd3TVQInKAMNj0WrbiCzpef17t3b4dc9duwY1Qa0CAEA1JEgFBcXJ66zsrJM7udj+TG+zs7ONnlcp9OJmWTKMpbOoXwNa2WUj1dXF0u7h/NMNuUF6h5lcODB9tb2GLPFmTWFvHmHeQAAcEMQatWqlQgZmzdvNt7H42x47E///v3FMV/zB4b8AcW2bNki/mKXx1hwGZ5JVl5ebizDA6Hbtm1LMTExxjLK15HLyK9jT13ANylbf+QuruLi4lrvGqst9rRmAQCAm4IQ/2XNM7j4Ig9K5tuXL18WHx7Tpk2jt99+m9asWSO6Cp544gkxE4yntst7K/Fsr0mTJtG+ffto165d9MILL4hZXFyOPfroo2K8BU+N566NFStWiFli06dPN9Zj6tSpYvbZe++9J9aL4en1vB4Kn4vZUxfwTZa6khzdT8uZINSpUyeqDTx2zTz01xYsrggAauPw9HkOG8OGDTMey+Fk4sSJtHTpUpo5c6ZYa4inuXPLzx133CECi7KrgafHc2AZPny4mC02fvx4sd6PjAcq//rrrzRlyhTq2bMnNWjQQCyMqFxraMCAAfTdd9+J6fGvvfYa3XbbbWJavPLDyJ66gG/jgM4ti/YEoZqOxSkoKKDaahHasWOH+HmpbTyjEwBATRwOQkOHDrX5gcF/Sb/55pviYg3PEOMQY0uXLl3EL39bHnroIXGpSV3A9/F6Uhyoq1OvXj3jbWW3rL0uXbrk8HMAAMCzsNcY+DxuFbRn4DsHIe4+5UHz7hyX400LJmI8EgCoDabPgypYmylojneib9q0qUvGyvCWLvZs1XH69GnyFvKCpQAAaoEgBD7HFevu8Ng1d7ZYAQCAZyAIgc9xRRByZ1cVFkwEAPAcBCHwOZaChSe6fGoSpgIDA11aFwAAsAxBCHyOpfE9W7du9UiLkLPnSUxMdMnrAwCAbQhC4HMsLWxo3iL0xz/+sdaDkL3nsFQO3WUAAO6BIAQ+x9JAZ/NgwYt2essYIU8GIQQuAFA7BCHwOfashVNd0HFFEGrUqJHXB6G8vLwq95WWlrrltQEAvAGCEPgcSyGia9eubg1CPXr0sHtPO1cHoWvXrlFycrJdq2Nbaj3zlsUdAQDcAStLg8+xFCLMFy2sbp2gmoQB7na799577S6vfC1uzfrmm2/EZsbOWrx4sbjWarViSxxHZ6chCAGAmqBFCFQRhEpKSmochNq1a0e9e/eu0vJjK1zYEyqUXXnnz5+vUQhS2rZtW7VlLHWDYdwQAKgJghD4HHs+yKvbe8xSUEpNTaXRo0dTnz59jPd16NChxmsAbdy40Xi7uLiY3OnmzZtufT0AAG+DIAQ+x7z1xxLeWNUWbskZNWpUlb3COCDxXmSyoKCgGgchZX3dubUHQzcYAKgdghD4nMOHD7vkPP3796e//OUvVtcpCgkJofr161d53FIrkbfuO4YgBABqh8HSAA4GBV65eu7cueJ2QUFBlcf79u1L3qC6tZLkMAcAoGZoEQKf06xZM7e9VmhoqEtbWa5fv16j+qxfv954Oy4uzqntSDBYGgDUBEEIfE7Dhg3d9loBAbYbVR0NRZcuXXK6LryNyL59+xx6bYQeAFA7BCFQ5crS3qpLly5OP9d8AUV7Bo3X5fcKAMAVEITA53hTK4elMUSOdlXZ68qVKw63Lh07dszp1wMA8AUIQuBz1NrKsWfPHoefw6tPAwCoGYIQ+BxXBqG6NL08KyvL4eckJibWSl0AAOoKBCHwOd7UNebtVqxYUeU+vH8AoCYIQuBz6nLXWF5enqerAACgKghC4HNqKwglJCSQN47zAQAA5yEIgc85d+5crZw3NjaWalvLli1dPpsMAACsQxACn1Nbg6Xt2RBV3ofMWW3atCF3yc3NddtrAQB4KwQhADvZE4TGjx9fo9eoycrSjtq5cyd5Em8ncvXqVY/WAQAAQQhUx9luphYtWtT6dPuzZ89avL82ZnKdOXPGba9lyaJFi+izzz6j4uJit7weAIAlCEKgOtHR0XaXVYYCdwyWVssMNWX3ZWFhocfqAQCAIASq40irjTII1bS1p2vXrjV6vi9RBqG6tGglAPgeBCFQnaFDh9pdVvkhHRQUZLNsdS1GI0eONDlu1qwZqRVagQDAWyAIgeo4MrOLw8+YMWNo9OjRFBYWZrNsfHy8Q2OTRo0aJa5DQkKqrYevrfas1+uNt7E0AAB4EoIQ+JyIiAiXnq93797Ut2/fGp/HPMwEBASI68DAQKvPkcOSM2JiYqrcd+LECVq5ciWVl5eTJwUHBxtvIwgBgCdV/CYG8CHyB2t4eDhFRka6bYp2dWNdlB/+jrRebdy40engxWNxbt68SfXr1xf1S0pKEo8dOXLE5vPcOUbI11q7AKBuQYsQ+Bz5g/XRRx+luLg4h7qvaisI9e/f3651iKxxNiysWbNGTFPfu3cveZPTp097ugoAAAKCEPic/Px8cW0peNx3330eCUJyN5grz1mdkpISSklJEbe3bdtG3uTYsWPG22gRAgBPQhACn5Kenm4yINc8SNgzMLk22Ao0tRUEtFqt8XZpaSl5Ew5pAADeAEEIfIryA9/SgGBnW2ZqGnYsPWZ+X21PKS8oKLD6WMOGDcmdarOLEgDAEQhC4FOU3WE83d08bLh6RhkLDQ0V123btrVaxrwe5gOneZuJd999t9rxPnPnzqXz5887VU9brULNmzd3a1eVTqdz6+sBAFiDIAQ+KzY2loqKimr9daZOnUqTJ0+2uRdZdWN9srKyqn2dQ4cOieuvv/66xmv3mKtusUhX4v3UeBo/AIA3QBACn6JsXeAp2qmpqbX+mjzuyHx2mrUgNHjwYHHNizQq6ywParb2PFdPWa/N16nOTz/9ZHKMFiEA8CSsIwQ+y5s+YOWgceedd4qp9NydpmwFsrWujzuCEK8zVNuvffjwYUpMTDQZxA0A4GkIQuCzbH3we3LskjymyJuCYW3ve8aLQlpby8ibAisAqA+6xsCn7Ny50+oHbKNGjchT3NH1FB0dbfNxW+OAarLYoz28bUFHAAAZghD4lIsXL1oNQm3atHF7feSA0bp1a6tlXNUiUl0LmK3HGzRo4PL62AstQgDgSegaA59lPkXdnQOCZS+//LJYv6dx48ZVHnN1fWoShLgufEEoAQC1QYsQ+CzzXd07duzo9jrwWkaWQpD5GkLWOBKWnA1CyjWEXIkXtPzll1+qXRoA4QsAPAktQqAaTZs2JV9maSVt5crR1oKQrefVxPLly0VXJcYHAYA3Q4sQ+Aw1tyxw95utQMMDpa0tqGjeclYb47UAALwVghD4DG+aLl/bONSUlZUZj7kLyhYOO9aCUs+ePcmT1BxgAcDz0DUGPhmEIiMjydvVZLD04sWL6ebNm/Tqq6+Kla1PnjxZbeuMtRYa80HlCCYAoCZoEQKfDEL5+fnkyzgEsfT09BqfS94jzROz6hiCFwB4EoIQ+Axf7BqrLpy44muu7cUUAQC8GX4Dgs+wFApeeeUVsY/Www8/THVNp06dqi3jjj3KahtahADAkxCEwGdY+kDlfb1efPFFateuHdW11p6EhIRqzyGPDVKuVdS2bVuX1sMZRUVFdpdVDvoGAHA3BCHwGb7WNeZIS0lUVJTxdr9+/WoUhFzRQvPFF1+YHPOAbmvWrFlT49cDAPCaIDR37lzjcv3yRfnXeGlpKU2ZMkV0V0RERND48eOrrDx7+fJlGjNmjFiVlzfKnDFjBul0OpMy27Ztox49eogZL4mJibR06VKLM2tatmwpfgn37duX9u3b5+ovF7yILwUh3kC1W7duTrXAODrmR15HyJUtQ/Jgbnv+b27cuOGy1wUA8IoWId7K4OrVq8aLckfwl156iX7++WdKSkqi7du3U0ZGBj3wwAMm66NwCOLm8t27d9OyZctEyJk9e7axzIULF0SZYcOGUUpKCk2bNo2eeeYZ2rhxo7HMihUraPr06TRnzhw6dOgQde3alUaNGkXZ2dm18SWDF7h+/Tr5iqlTp9psRTEPEleuXDEe+/v7k7dB9xcAqCoIBQQEUFxcnPEi72ydl5cnmszff/99uvPOO8VCbl999ZUIPHv27BFlfv31VzHu4dtvvxV/EY8ePZreeust0boj/zL99NNPqVWrVvTee+9R+/bt6YUXXqAHH3yQPvjgA2Md+DUmTZpETz75JHXo0EE8h1uYvvzyy9r4ksELKMNAXVDdJqjKa1tOnDjh0noBAKhJrQShM2fOUJMmTah169b02GOPia4udvDgQbG67YgRI4xluduMN31MTk4Wx3zduXNnk8Gf3JLD68LIv/C5jPIcchn5HByY+LWUZbi7gI/lMpZotVrxOsoL1B11bS8xX+rKAwCoq1wehHgsDndlbdiwgZYsWSK6sQYNGiT2QsrMzBR7HvH4ByUOPfwY42vz3brl4+rKcHApKSkRXSTcxWapjHwOS+bNmycGncoXe2btgPeobpdztQQhRwY78x8rnlZbe50BAHhkiw3uypJ16dJFBCNeufbHH38UU5m92axZs8S4IhkHK4ShumPTpk2kxvVzarJ7PP98yuRNWWtrN3przLf4AADwqenz3Ppz++2309mzZ8V4Ie62ys3NrfKXPD/G+Nr8L3v5uLoyvL8Uhy0ek8QDRi2Vkc9h7Rcyn0N5gbrh2rVrDi9G6I0tQjwJgAdKO2LHjh1O18HSwGoes+dOntraAwDALUGosLCQzp07R/Hx8WJwNDeDb9682fh4WlqaGEPUv39/cczXx44dM5ndxX/pcyjhQc9yGeU55DLyObj7jV9LWYY/dPhYLgO+5ZNPPjE5tnfGlbe1CPXu3ZtiYmJqdN569epVW0ZunbU0rsp86jsAgC9zedfYyy+/TGPHjhXdYTw1nqev81+djzzyiBh38/TTT4vup9jYWBFueNVfDifyInAjR44Ugefxxx+nBQsWiDE9b7zxhlh7SG5Cnzx5Mi1atIhmzpxJTz31FG3ZskV0va1bt85YD36NiRMnUq9evahPnz704YcfirVWeBYZ+B7zUFEXWhnsGSPkzNfBrbD33XcfrV692moZ/vngtbm8obtanlUKAOATQej3338XoYfXNmnYsCHdcccdYmo832Y8xZ1ncPFCijxLi2d7Kf+a59C0du1aeu6550RACg8PF4HmzTffNJbhqfMcenhNooULF1KzZs3o888/F+eSTZgwQXSX8PpDHKZ4Kj4P4DYfQA2+qS4EodrYY0v+unnmpa0gxC2z1gYpu2sTVv7DiJfU4K5zAACfCUI//PCDzce5y4LXBOKLNdyatH79epvnGTp0KB0+fNhmGV5fiC+gPhyO1ThrTA4VvJaXNfzHRW2GSHu+Lm6R4u5s7gYHAPAk7DUGPolbRLxdbcxI5C5nGbfMWpocUN34KfPtbBxlz6wz5UQE7D4PAJ6EIAQ+qS50jfGgflfj/feUu9DzeDqeOKDEY/hsuXTpUo3qYO9K13Xh/wgAfB+CEIAPsTTuh9fzUuKNiKvD29w4S7kBLACAt0MQAp9T17bacGWriaWBzs60vPAsTFet6WRpiQAldI0BgCchCIHPUc4eVJvqdp43397G2fPYYmugNktMTBTX6BoDAG+AIAQ+hzfxrYtef/31Gp+jugBja2V1JXm7DXtxeV4YlVt3Dh06ZLUcrw9mPl0eLUIA4FPT5wHAuen+jm4+es8991RZZsJS1xhvRGzv1HlnvfXWW3YtjtimTZtaeX0AAGehRQh8yt133011kTP72lkKPZbuU7buDBkyhGrT9evX7S6LrjEA8AZoEYI6T9m10r59e6qL7B27o3T69GmHB0vbsw+ZI/Lz8yk9Pd2usvXr17d4P7rGAMCTEISgzlMGguoG6nobHjPD6+5Ya6mx1WrC29jYE4SUKz27uhWG9/wrKyuzq6yl+gIAeFrd+tQAsODcuXMume3kCTxmxpFxMzzGR16nx95d4h0d+OwIe0OQJegaAwBvgDFCUKfxdhD79u2rsy1CjuKNiOWWH3u7lOwNQrW9IbH5wo4ydI0BgCchCEGdwN0758+fN5kBxTZs2GByXNdahBwRFhYmgtB9991HL774oss3d+3YsaPJsb0tTvaGKV8PqQBQN+E3E9QJmzdvpl27donbc+fONd5/4MAB1XS38J5hHPS6d+8ujuPj4+nq1avVPq9169bGIOXI3mfmodMeyrATGhpqcg7zkOrL/1cAUHegRQicx10a614mSvmu1l9KDkFqZt611LVrV5PjoUOHWnxeTEwMTZ8+naZNm2bz/OZBJTc31+E6XrlyxXi7RYsWNs8vQ9cYAHgSghA4LiOFaF5zol9eIdr/L6JVz7m9CvzhuXLlSlIT8xlh1R2br1NU3W737dq1MzlOSkpyqp7WzmerfgAAnoLfTOC4fw4h0uYR7fvMY1U4fvw4HTlyhHydsrXEPEiYr5lk3kLkKF5jiMcfOVM3S7h+yhlx5vWXu8bQIgQAnoQgBHXSL7/8QmqgDA885kZJ2cLTp08fioqKqvHrme8DVpPZaLxlCK+TZG1MEIIQAHgDDJaGOqm4uLjKfb44+JYHHz/11FNi5ldISEiVIMSbqJaXl7tsa5HqBlSbL11gi7UWIPNjBCEA8CQEIfAZtbWhqKc1b97c4v0cJJ599lmXjr9xJExWF4TMoWsMALwRusbAZwwcOJDUhsOFpwYh2xuE5C4788HTCEIA4A3QIgQ+o7pZUeA4nkJvbUNYe4PQlClTxLYgPI3fWhDix3m7DvMyAAC1DS1C4DN8eVVpT9mxY4fVx86ePWt3QLUUcJRB6J133qGFCxdSYWGhzXNxWKquDACAIxCEwDZdGVHK90R5lQvluZu9XSdYp8Y1WrVqZdeYIXtWtbbFUtfYTz/9ZPM57777rrjIG88CANQUPjnAtl0fEq2aTPTZII9VwbwLhmdQ8Zo35uNOEIRcY9SoUcbbp06dslru+vXrLg9CFy9etBly5N3uaxrCAABk+OQAor2fEW37P8uPnbi1enPxDfKU06dPVwlCBQUF4nZqaqpTU7/BOp6SL4uNjbVrO42aBKG8vDy71idSbh6LblAAcBUMllY7/mv8l5kVt7s+TBRjuj8UZZ80Pc53/1/i5h+UpaWlJuvs8Bo6165dM+nSAddt9GoPXkVa2XpkvuaRLeYtS9Za9pQtgwhCAOAqaBFSO31FV4OgK7WjvJY8vT7Qt99+a5yS/Yc//IF69epFo0eP9skFFT1F3rHe3vd0woQJJsf2BJWDBw+Kaw6xSjk5ORbLK7vMlLvcAwDUBIKQ2im7vBb3IdLZCDofdCIqyLL82M4PXFKd//73vzR37ly6caOyXpcuXTIpk5mZadxuwlcXUfQ0rVZbpfVN6cKFCzVeyqCkpMShc/P+cjKEXgBwFQQhtTu9wfR485umM8aU8tKJvhxp+Tz/neuS6uzcuVNcf/zxx8b7Dh06VKUcbysh72cFrieP/7G2p9uyZcuMt2+77TZxPXbsWKv7ojnCWsj57bffnD4nAIA1CEJqHx+09iXT+0oU3RJvNyRvJc8ewiKKnpeQkGAcT8RdlDyjb9y4cS4PQnL4Vc40k8cNbdmyhRYtWmQyoBoAwB7oaFez90y3PBA03pGN5TEm1rpm5FljaBHyPOV4oL59+1KfPn3s6rri/ztluJHJSyNUh7tQWZcuXejo0aPi9q5du2jQIM8t9QAAdY93fOqBZxRmVr2vcceK68t7qn/+4FuzzZy0++x1avnqOvrttOlgWXkWEs8mmj9/vs1zoEWodjRr1kxc9+jRo9qy5v8H9o7fkbvUzFnqCjVfQkG59pAcggAAnIEgBKaOfE+0/wuiLysX1bOKp9vXwKOf7xXXT3y5z6S7S54yrxyHYg2CUM1IBsurdjdt2tTuwei21hpyhvng+HPnztF3331n13Ox4jQAOApBSK3KrHxgXD1CtG569c9v0JY/RSuPWw2pcZV4vylZenq6sfvLFnSNOW/rt6n0yfNbqSi36kxBuVXHUteVtan2jurevbtd5b755hu7t10xD1EAANVBEFKreRVdH06bvJMorH7lcZs7a3S6y5cv2/Whaw7ryTjfEnRyZ4a4/d+lJy3+f7A9e6p2kZqv8+PsVHZbY4GsTa23tu2KrEGDBk7VBQDUC0FIrZStOdUZPKPqfQFBRGGxRNG3VqIuzXXo5b/bW/FBK/vki+q7wcB1UvdUjg/7PbXqAoYZGRUhiaWlpdH+/fuNx7xLvGzKlClO18HWDK/qNtq1ts9Zx463xrgBANgJQUiNDJb3crKq4/2mx5N3Vd5uOahyQcWMFLtP+drKYybHJ3WV+1tZw7ORwDVO77MwUN6K77//ntatW0dZWVUX02zY0PklFmx1fcr7jVkLS9ZaD6sLUAAA5hCE1KjAwodg+3utlw8MM51eH9ep8jhHsQrw1/c5XaWj+ibVlrnnnnucPj+YstQKVJ3i4mKX1sFWt6YcgKy1/HArla3nAQDYC0FIjU6tMT3u+ihR8/62u9H+vIOo04NEL5pNbb6kaB0qK7Tr5Sd/U7HHlCMGDx5c5b6pU6c6fB6wz8iRVVcQt7YZqrOCg4OtPvbBBx+ImYOffPKJxccvXrxo8X5rO9cDAFiDIKRGG16tvN3veaL7lxAVZVsvXy+OKL4L0YNfEMW2MnZBVFns0FAxgFVv0NOmS5soq8jyvmQbTtjfLSMbNmyYuB44cKBxxlFMTIzD5wGi4vyyqvt4/VaxpYZyHSdzyuUNXEGeoi+bNm1alTDk6KKOaBECAEdhyo3ajfzf6jdNDQipcldSUhKdPHmSLO0w9u2pb+ndA++K28cmmo4FMlhZt4YtLe0trh8PPkD+mopyvEpw8+bNjTOT7rrrLnFfSEjVOoF9zhyoGlC3f5dGnQY3tdn6s3z5cpPB0TVtITKfbRYdHe3wOVq1akUTJ04U45i4uwwtQgDgKAQhtbP1YRbRmKjzQ0R+lVsoyDgEWSOHIHNlOgO9vc7682SZjXpT02sViywOHTrUZAsHhhBUMymbTGfs2dp93tzixYuNt59//nnytMTERJNQhiAEAI5CEIIK478g+vfTlcdRzYmmHeU/202Kncs9R3uuVq4tk9bqSWp74Surp027mUZtY9vSXe9vpzPZpmOIHu/Xgr7ZU3UBvExDJD0xfLhYNdo8BIHzivK0VFJQRoU5lkOOo2Gzfn3FOlI1NGDAAKeet3nzZtFdiq4xAHAWxgip2b2LKm93ftC0C+ylY1VCEBu3ehzN3zefdsTtEMffXzDrzjCbvrwopeI1zEMQmzTI8orEx67kie4v3sATXIPHdC19ZReteLtyPSBzRXsrWuHs3VrD2YUUlV5//XX685//LLo8bc0MfOCBB2j8+PFWp++jRQgAnIUgpDaleZW3g8w+7F46YfOp5frKtVuyQ7PpcriFLpZy0ynW29K30Xd7LW97cOrADhoaeNa+ekONbP0mtdoylydOFNeZ//sPOt2xE734xBNiZp61Vrmzd42kU+3ai0vmm285VS/eIiU+Pt4YqngneUv4/s6dO1sMSEyuI4IQADgKQchXF0zMsRA+5kYRzW9eedysl+nj4Q0qwtArlqcmj1k5xuR4f6P9pPXT0glqY/raZl7/WTHF3q9iplm3hGhKTk6mlv6Or2cDjju1+6rdLUc5t/b2uv7HCWJm3mOPPWaxbHl6uvF2jp2bolbH0fFfjRs3FtfoGgMAZyEI+aI3Y4kWdiE68GXlfZY+IKIVoUgW1Ywo1PK09KtFVT9M17ZYS2/Ur1wM8UaJhQXwNBXhqF77V6le27ni+t0HOhgffiL4AA0IuGC6l5QeH2iucu2y5RWcg8ryq9ynv3nTeNtQWGh1d/lRd1bdW+7iw4/UsKZEN7/+hjodM51pyH5/8S+i5WnItm0m9xtuLeEgd40hCAGAozBY2teUKj7c1r5EdOgbogyzRRDNSJKetmy9nTSaALpzmOmKvVqDgfJ1emoYZH2X97ORl4huVNweuqbq6tJ+wVmkLzf9MN3860+Vj2skuqddNO0+Xvl4cbmeIv1t5/SSEzeocO9Vin3wNvKPtL44n9r9+A/L44J6H5hHGfED6EKrscb7CndUjP1i0Q89VKWV5sUXXxSDpDmUmCtJSaH8X3+lSAuLMVpqebI0xijrH/8gjsgNrl+nbbfWjmrRogUV/LBC3I7LzKKHVvxIKd26UfzVq1Q84i6KuGMgxggBgNPQIuRr5ieYHlsJQTlRAXTk6LPi9pmz88W1JOlIrzedUdRi+1HqvOsE/ZhhuuCeJVorY2fDEpYR+ReZ3LeIPjLefuKJJ+h//ud/TB4vKav+A+3GNydJezqHrv5jH5VdNT0/VNi8zPpyBcFl+RSbUxF8g0srWoKuvjrL+HhuUpIIPByExo4dS2PGjKl2ptiVv0w1jhsqTTst7iv7/YrxvvyNv9Llp5+h1PYdqGhf5eBs3c2bdP1f/6LwAQOIv40aZ1Uu8HlXmOlYNj9Joh6HD1N8ZialP/MM6a5dQ4sQADgNQUilDneOouvXN4vb6emVXWjnz79nvD0h5Zzx9lub7rZ5Ph1p6LPoKKuP17vd+mDa1q0rZo/9ZfhtxvuKbQQhSW+ggp2mwSx7oe1WLzXiVpfUZNureLf8oWJsj4Ykm+fp2bMn9e5dseCloci+0HnhvorWwXMjRhjvuzJ1KhXtqhgzdvmJisHZ7MyAgXTtvfepaPdu433jk36icf9ZSQVz5th8nTN3DscYIQBwGoKQL3mvnV3FrscGkuRX0XyzeYtioDN/OKV/Yby9Pcfy2JKxlyq7UmSjE+LpX4og9H7fleSo6XfdTvVCKnpri8sqtuuw5Mrruyhv7XmHz68WvHp3aWE5ffLc1iqPJaRXhN/Ec/+puONW91RpSH0yaCzPDpMUW2tw91daT7NB9jZoz9qeFchjfPLXr7f4WIBeT8H2bOtRXo4WIQBwGsYI+ZKC6mcGZdUPouMdI22WMRjKyM8vyHjspzMdAB1kCKKhGUNpX/N9VKyrmC6fabaT+KSlaVSv6jASEydiTtCihxVrGfHA3PAgKijV2dU1Zk4ySCTpDOQXpO5FGJc8XzUAsU4nPqdG1w7TyOWvkeZGCwpus4jO7K/cbmPbkI/ozm2VW2jI0rp2E9ftU09VGRDd9vAh0oSEkC77Gp0dMqTKc8//oWpoNjl3t+7kCsogZG38EQCAJWgR8gX8V/C2inE+tuzrHlVtCGJ6fTEN3HPKeFw/4yXj7Xj9nyru09anx9pbnlZtKK8nrrXZo2y+Tmp0Kv1pZ8X5ZIG3PsAufXqEfn91hwg3Ml1uqbjPmiuv7aSM2btJX+jazUHrCl25jhZP3mLxsR6H3xchqN2pkxQSHU7BbSpaAmPiw0zKXWw+iijI/oHnfqGhInQENm5ETRcuFPfx/9iWoYspua+lnejs0+bXjTYfr/+MYhV0MeC+4vvm4MGD9Pe//53WrFlDxcWma1rZK2vePDGe6ebXXzv1fACoWzQS//kEFuXn51NUVBTl5eVRZGT1AcLtfnuHaMvbdhXd0TeGyoLtaynZfnUB/bNJZZdZw8uPG29fa16xxszPEeXUsVtH6vtd1dWfC07941bGlqhe+8rBt7ZEBERQ0rEFdAdVznrbSZEUcUdTiv5DaxGIOOgoBcaHU1jPxqKbrNeoivB1YGMB1f+f9hTaqQGpha5MT1u/TaXT+6pupsrapn1PTa/upNbr1hoDkJKl8PTUi43p4vgHTe4zaPxIIxnEYGamCQqidkePVNajXE+fvbjd5DkhpTeocdY+anNhrdX6c5dcblQipTcbRvVvnqD8yJb0wMpZlD7pWSraWfF/Hti0qWh5Kjt3ztg6pZy5tvYPY6goIqLKubt3706HDx8Wt2+77TbjmkgFN0spbc9V6j6yBfn5a4wtSGl9+pIhv+qyArcl76aAGMvLSgBA3f78RhCqY0Fo7H/+QJfzL9KRi5WL2Vmz5Y761PBGGd2MDiRdoGnjX/C5KNK2qVhlOv7oZIrI6kln7pokjg9TT3pX8xqRoYxCindSvZsVe4lpQ3tSfsNp4nbmsG4inORr8+mOH+8wOXfBqcrWKU3gdWqU8AVFGAJpQNYAKgooohW9hpE+KIGir/6NAssrF2+89+ZQ+u5mH5LK+QNHI4KQLU3n3UHa83k0JfkMrWtaMb3/s33FNHJsWwrtYHt2U13tPhE/ruXlIoSwH97eRzd+N92+pMyfyF8i8r81XOZe6UfRghJ2a7CzJZbC0P0Nt9PKaxXdXU0ydlBGk0Hi9rBtL4jB1dy6xO/huUPZtOGfirUPLHhoeicqevU5Kj15kmIefZSykn6mnQPnU1zmHsqM62fxOc8vGUbZ775LUWPGUEiHinWnCrZspZBOHSmwUSPKW7uOMl5+Wdy/4uEJNl9fNFNpiObOnUt6nYE+fcF0PaJBHW5S4Cd/s3mKtkePkN+t9x0AvBuCkA8EId79+/MvPqcz8WfowyMVQSTfUI8i/SwPYDa3v1sU5UdaXvsnNyeOjh0bTre33U1XS1pQyMXG9NbQh2g5PUgFeqK/ZZh2l8iu8TR4TUWgWi6Np9SbifTOgb+IBRJlq37PoGZlGmqrXSaOHw0+REEaPRUEh9LyflW7ypStTeZhSg5CWk0ZBUmBpDG2RRDVG96cou5qQTll5dR+l+nWIOei4im8R8WKw6wk9Qa9tfMs/ZgYQoVm3+6bet5OnSMtf702ZZ0kWtJf3Ezze5D+m1HR0vCn/xtI4VG1s6YRDyxWjqmpv3EvJc07QDo/otxwP/IzEC3+Q+Xeb/WKDfTetbN075/+WO25v3l5M+UX2hcM++x/m7rv2UT/euk3Mugc+/XRq08wdXmgB335anK1Zad8WnXRRqXyjAw6c+cIEcquxsfRbxbGKLGGmYPFtd5PS37hWtIUWP5ZtjQ+ykRAALU/XnWxRwDwPghCZhYvXkzvvPMOZWZmUteuXenjjz+mPn36eEUQ0ut09OFj4ygjuBE10WZTREAMNQ5tQV+ExNLFiJZ0KORJkuNMRoA/jUpoanzusQuXyWBhoNfFhFA616py7ZUdWSOp9EwkDRnwE5UVx9DhQ38wPlYiBdB5fX1qG5BNF1v/Qkck61Oj5W6xXhdPUa9LlQsvSiRRScNv6M7iErq7qGJcxqTGk2h4wm+UemC0+FP80yHjrJ7XWhjSXhtBEdF7qTywIvxNTq4Yg6IjiQ4F6+h8r2g608xy6Pjbiop1cYKHNqQ3GtseeH11aFdj61B5mZ5Sd1+l9gPiKcDSoOuSXCovKqR/vlGxRo4l9z/TkOKbEhlOb6ZPv6/cO6vPH1pQ0Y1COpF8gwZNuJ2upOWIbpmzByvWzImIDaa7n+1MV07nUPJ/ztHznwwjbYmOti1PpR5RZ+nGnNdMXmfV6E9o4b3Vd9dcHNyFQqpZnFJ8aQVa2r/+Eh3b+jt5E0vhkkNYWUnlzML2p5bRqfYTyU9/jRIyvqYDvXtTeEFLCiuysHq6FX33/p3CSyr+L6IfnkC5txZxVGq1aiWFtGtHF/44gUqPHq147dTK8XQA4B0QhBRWrFghFuz79NNPxW7mH374ISUlJVFaWho1atTIY0Hohw9fosKyNtSg278obU0nCjY0ovGR95u0euiCc+hMixX034Iw2h1xgnIDCijW30Czm1RsK7AlP4B+Kwyg1sEGeqK+YoCwwZ8e8/+xymuG5q8lXVBrisg/SDmNKsJH0N5MKusbZ1IuOnMOBZaZTk+PSptJQ4LOU49u6yk6smIW2YH991JJScWU+QF0gEaS6UDm5G7RlHowgWbdaTozzJJGl56gxNIEOhN6mZpr40mS/CgzuIDKNfk0JL8f5fjn0dHwyg+cawlfi6nfGkMJkVROQaX8mIHCc38kf/11Kg2/gwrq/5kc8cLaXIos0pO/4v9Adv+DpRTz25/py+yKlq7axj+UG7uH0fm4QLoRaRrIntiST1/f6dj348DoCPp390S7ylobcF2dyAYhIkAm9mxM0Y3DLHZBVaddvzhK3VN17aPH/7c/RUQH0/51F+nAest74dVU63Mrqf+Ld9Hm8nK6ceMGTZo0SQRkHouU3qwZ7b5joLFs29RU6pZSOT5KDkT867Ts/HkKaNiQ9Dk5lPmPf1DDKVOoLD2d9Lm5omsw79+3li7gP2LCwylxy2byq1ePNLdmvgFAzSEIKXD44YXgFi1aZJxem5CQILYKePXVyi4ddwahGQv+Rt/0Hm+zzIPSd/ST5lG7ztdcqvhg0FEAZWiakTs0u3mWfo+174NV6b3jK2lgxgjqN7JicHONSXqKyZxNev+GFFTK3RZlFmJMhUgplIb4DaWJGRsoruQaRWmKSasJpCG3/4tuhkZTg8BCygyuT8X+YfTQz19RSFkJHW3Xk4507Ms/KCQpxhTFZf9OT/ySQqHB/SnEX0MNAjSiWzHYT6ICKiVdaAlpdAEUUB5K18MlCi6QyF8fSHqSyKApIz1lUIgmncIatqMIQzD96/ZQSmkaZ1zXR8nPYCAD32/nmKZVvxXSuMFVBw7LYrQGWranmLo/34MCG4WRoUwvPvA1t8aRFeVqKe96CWmLdZTQPob0OokCgvxozccH6EoqDyTmuF5Rl0fm9KWQ8EAKizQdO8NbXfAih4U5Wlo2axc17xBLl09W7mPGJrzRW6x31Kyd6fYrBzdcpD2ram+dqPyoU6QNuUb+unAy+GupQfYAi+XKA/OoNOQalQXfIIN/Gf+2tH5Sif+fgsngp6We+/dTQvrv5K/Ti+cUh0XRtQbd6VLL8RRWdIHq39xGCemnKKi8hAx+gVQWFEXB2hwKHvMA0aB7KLZza4qJjyBNYKAIT/5RUaS5tTwF/7rm+6TSUgqMjydfoNPp6Pr16+J7JiwsjIKCgigwMFB8/8gLZQI4CkHolrKyMvGD9dNPP9G4cZVdMxMnTqTc3FxavXp1lXE5fFG+kRyaXB2EFi+YRm/1Np02rgbzpJcoQZ9BuoI40viX0wX/ZjQ33LS7p6b8JT2FGkqp0D+c/CSDOPYnA9XX5VKYoYQCJV4DW6JAbkWSym99nHPIqHi+mOum+JHgAMT3BXAQku+7dW0QHZMy6dbnpHIQtnx2PkdliDFI1a2RJFXOzJJH+d7qglS+ftVnmb6qNcrHlS2QfP7Kr1I+oz3hS/nK8nNMz2SlkrZP5/iDAFAHRWi19K8JFRNxPBGEfHpBRfmvjMaNKwfOMj5OTU2tUn7evHliDZLa9uRz/0unl31JKzpWzMKpDVOld6gP7TEep1FbOkttqYwCqRmlUwKl03HqQu3oBDWk7IpwQOW0k4bQp5q/uLQuD0rf0zj6qeKzz58oMLpiDMptlEWPSF/T95onKFrKoVxN5XiXYKmUtJrKzT7tpdf4ixAkT/fmSzmvMRRk+j0AAADeIc5Q/WLAtcmnW4QyMjKoadOmtHv3burfv2KGD5s5cyZt376d9u7d65EWIaW8C5eocP9+up6hJX1ZAZVKEuUX6qj4RhGVBQaIgcFl5XqSyotI7ydRWUCAWHdF0gSSlrTkrysijYHrzP+NfhXdJxqJAoK1FBBRIrpU/KUA0lAwaUsiiPTB5M+JRKMX3UqBgRoKiSgiQ3kglRdFcccNBYUXiTE6ki6U/ILKSONnID9/3pA1UFzz+ctKw0ny15GOu3t0ARQUmk8BYXmk1+hJXxZM5UXBpNWGU1BIEZWVa6i8LJCiGmaSvz93XWnIoPMjSdKQX4CeJAPX2UC864fBULH+kGTwF/cbuB58W+KWGg0FhxWTn5+e/KRA8g/UUWCAgQx+epICDJQbGC025Cz1DyU/0QXlT/56LRX7h5LWP5TK/UJIx7PeNERlfhz7AkgSjRdySwivJ8OvxS09kijHq+bwI3ruOjLrmtJwO4+m4p0XP0XioOLHSf6Xu9MqHjeIc1tvrbnV6lPZOKVoF7K3ZUbJ9Mf6VmOV8ajy0YqvvaJlSGNcmFBZJ7mUsr2n8nHlPZWtQba+Rlv1NG2jAgA1CCsroyWPTHfpOdEidEuDBg1EH3NWlulCc3wcF2c6QJgFBweLiztFtWohLpVzwQAAAMBdfHqaAg+6412zN2+u2GhSHizNx8oWIgAAAFAnn24RYtOnTxeDo3v16iXWDuLp80VFRfTkk096umoAAADgYT4fhCZMmEDXrl2j2bNniwUVu3XrRhs2bKgygBoAAADUx6cHS/viXmMAAADgus9vnx4jBAAAAGALghAAAACoFoIQAAAAqBaCEAAAAKgWghAAAACoFoIQAAAAqBaCEAAAAKgWghAAAACoFoIQAAAAqJbPb7FRE/Ki27xCJQAAANQN8ue2PZtnIAjZUFBQIK4TEhI8XRUAAABw4nOct9qwBXuN2WAwGCgjI4Pq1atHGo3G5WmVA1Z6ejr2MatFeJ/dA++ze+B9dh+813X7feZowyGoSZMm5OdnexQQWoRs4DevWbNmtfoa/B+PH7Lah/fZPfA+uwfeZ/fBe1133+fqWoJkGCwNAAAAqoUgBAAAAKqFIOQhwcHBNGfOHHENtQfvs3vgfXYPvM/ug/daPe8zBksDAACAaqFFCAAAAFQLQQgAAABUC0EIAAAAVAtBCAAAAFQLQcgDFi9eTC1btqSQkBDq27cv7du3z9NV8iq//fYbjR07VqwIyit6r1q1yuRxHt8/e/Zsio+Pp9DQUBoxYgSdOXPGpMzNmzfpscceEwt0RUdH09NPP02FhYUmZY4ePUqDBg0S/w+8sumCBQuq1CUpKYnatWsnynTu3JnWr19PvmDevHnUu3dvsWp6o0aNaNy4cZSWlmZSprS0lKZMmUL169eniIgIGj9+PGVlZZmUuXz5Mo0ZM4bCwsLEeWbMmEE6nc6kzLZt26hHjx5iVkhiYiItXbpUVT8TS5YsoS5duhgXjOvfvz/98ssvxsfxPrve/Pnzxe+OadOmGe/D++wac+fOFe+t8sK/I+v0+8yzxsB9fvjhBykoKEj68ssvpRMnTkiTJk2SoqOjpaysLE9XzWusX79eev3116X//Oc/PKNRWrlypcnj8+fPl6KioqRVq1ZJR44cke69916pVatWUklJibHM3XffLXXt2lXas2ePtGPHDikxMVF65JFHjI/n5eVJjRs3lh577DHp+PHj0vfffy+FhoZKn332mbHMrl27JH9/f2nBggXSyZMnpTfeeEMKDAyUjh07JtV1o0aNkr766ivxtaekpEj33HOP1Lx5c6mwsNBYZvLkyVJCQoK0efNm6cCBA1K/fv2kAQMGGB/X6XRSp06dpBEjRkiHDx8W/28NGjSQZs2aZSxz/vx5KSwsTJo+fbp4Dz/++GPxnm7YsEE1PxNr1qyR1q1bJ50+fVpKS0uTXnvtNfF9xO89w/vsWvv27ZNatmwpdenSRZo6darxfrzPrjFnzhypY8eO0tWrV42Xa9eu1en3GUHIzfr06SNNmTLFeKzX66UmTZpI8+bN82i9vJV5EDIYDFJcXJz0zjvvGO/Lzc2VgoODRZhh/IPDz9u/f7+xzC+//CJpNBrpypUr4viTTz6RYmJiJK1WayzzyiuvSG3btjUe//GPf5TGjBljUp++fftKf/7znyVfk52dLd6z7du3G99T/rBOSkoyljl16pQok5ycLI75F5ifn5+UmZlpLLNkyRIpMjLS+L7OnDlT/NJUmjBhgghiav6Z4O+9zz//HO+zixUUFEi33XabtGnTJmnIkCHGIIT32bVBqGvXrhYfq6vvM7rG3KisrIwOHjwounKU+5nxcXJyskfrVldcuHCBMjMzTd5D3k+Gm0Xl95CvuTusV69exjJcnt/rvXv3GssMHjyYgoKCjGVGjRoluodycnKMZZSvI5fxxf+rvLw8cR0bGyuu+fu0vLzc5Ovn5u/mzZubvM/cXdi4cWOT94c3UTxx4oRd76Hafib0ej398MMPVFRUJLrI8D67FnfJcJeL+XuB99m1zpw5I4YutG7dWgxB4K6uuvw+Iwi50fXr18UvQuU3AONj/nCH6snvk633kK+531kpICBAfMgry1g6h/I1rJXxtf8rg8EgxlIMHDiQOnXqJO7jr5FDIgdKW++zs+8h/9IrKSlRzc/EsWPHxHgJHu8wefJkWrlyJXXo0AHvswtxwDx06JAY/2YO77Pr9O3bV4zX2bBhgxj/xn+c8lhL3um9rr7P2H0eQOX4r+jjx4/Tzp07PV0Vn9W2bVtKSUkRLW8//fQTTZw4kbZv3+7pavmM9PR0mjp1Km3atEkMnIXaM3r0aONtngTAwahFixb0448/iskrdRFahNyoQYMG5O/vX2UEPR/HxcV5rF51ifw+2XoP+To7O9vkcZ6RwDPJlGUsnUP5GtbK+NL/1QsvvEBr166lrVu3UrNmzYz389fIzc+5ubk232dn30OePcW/NNXyM8F/JfPMl549e4oWi65du9LChQvxPrsId5PwzzzPMuLWX75w0Pzoo4/EbW4pwPtcO6Kjo+n222+ns2fP1tnvZwQhN/8y5F+EmzdvNumW4GMeLwDVa9WqlfhGV76H3FzKY3/k95Cv+QeRfznKtmzZIt5r/utFLsPT9Lk/W8Z/TfJf7jExMcYyyteRy/jC/xWPQ+cQxF00/N7w+6rE36eBgYEmXz+Pn+KxAMr3mbt8lKGT3x/+ZcXdPva8h2r9meCvUavV4n12keHDh4v3iFvd5AuPEeTxK/JtvM+1o7CwkM6dOyeWM6mz388OD6+GGuEpfzzDaenSpWJ207PPPium/ClH0Ksdz/zgaZV84W/R999/X9y+dOmScfo8v2erV6+Wjh49Kt13330Wp893795d2rt3r7Rz504xk0Q5fZ5nN/D0+ccff1xMY+b/F56uaT59PiAgQHr33XfFzAeeLeEr0+efe+45sQTBtm3bTKbBFhcXm0yD5Sn1W7ZsEdNg+/fvLy7m02BHjhwppuDz1NaGDRtanAY7Y8YM8R4uXrzY4jRYX/6ZePXVV8VsvAsXLojvVz7mGYy//vqreBzvc+1QzhpjeJ9d469//av4vcHfz/w7kqfB8/R3nnlaV99nBCEP4DUR+BuF10DgKYC81g1U2rp1qwhA5peJEycap9D/7W9/E0GGfxCGDx8u1mdRunHjhgg+ERERYlrmk08+KQKWEq9BdMcdd4hzNG3aVAQscz/++KN0++23i/8rns7J68H4AkvvL194bSEZB8vnn39eTPXmX0r333+/CEtKFy9elEaPHi3WYOJfhvxLsry8vMr/Z7du3cR72Lp1a5PXUMPPxFNPPSW1aNFCfG38C5+/X+UQxPA+uycI4X12jQkTJkjx8fHia+Pfm3x89uzZOv0+a/gfx9uRAAAAAOo+jBECAAAA1UIQAgAAANVCEAIAAADVQhACAAAA1UIQAgAAANVCEAIAAADVQhACAAAA1UIQAgAAANVCEAIAAADVQhACAAAA1UIQAgAAANVCEAIAAABSq/8HYihipoNv4yQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "trader = 50\n",
    "#概率50% 手续费0.01 参加50000次\n",
    "_ = [plt.plot(np.arange(50000),simpmarket(0.5, play_cnt=50000, stock_num=9, commission = 0.01)) for _ in np.arange(0,trader)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "trader = 50\n",
    "#概率50% 手续费0.01 参加50000次\n",
    "_ = plt.hist([simpmarket(0.5, play_cnt=50000, stock_num=9, commission=0.01)[-1] for _ in np.arange(0, trader)], bins = 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#亏损一次，无手续费，开启加注\n",
    "_ = [plt.plot(np.arange(1000),simpmarket(0.5, play_cnt=1000, stock_num=9, commission = 0, lever = True)) for _ in np.arange(0,trader)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAGdCAYAAACyzRGfAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQAAH2RJREFUeJzt3Q2MldWdP/DfIDCgOIOAMrC8iC+VKkJX1iLRGhUKUmO0skltzRYNq9FFs8C2WhL7wr5kqCZKbZC6u65ootJlUzTaFaMoGFewimXRdkuExQVXXrbuMgNYBgr3n/MkM3+ughW4c2Dmfj7J4c59nmfuPfce7vN85zznObemVCqVAgAgky65nggAIBE+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyKprHGf2798fH3zwQZx88slRU1NzrKsDAHwGac7SHTt2xMCBA6NLly4dK3yk4DF48OBjXQ0A4Ahs2rQpBg0a1LHCR+rxaK18XV3dsa4OAPAZNDc3F50HrcfxDhU+Wk+1pOAhfABAx/JZhkwYcAoAZHVU4WPOnDlFwpk+fXrbst27d8e0adOib9++0atXr5g8eXJs3bq1EnUFAKo5fLzxxhvx0EMPxciRI8uWz5gxI5555plYtGhRLF++vBhAet1111WirgBAtYaPnTt3xg033BD/8A//EKecckrb8qampnj44YfjvvvuiyuuuCJGjx4djzzySLz22muxcuXKStYbAKim8JFOq1x11VUxfvz4suWrVq2KvXv3li0fPnx4DBkyJFasWHHQx2ppaSlGyB5YAIDO67Cvdlm4cGG89dZbxWmXj9uyZUt07949evfuXba8f//+xbqDaWxsjNmzZx9uNQCAauj5SHNv/OVf/mU8/vjj0aNHj4pUYNasWcXpmtaSngMA6LwOK3yk0yrbtm2LCy64ILp27VqUNKj0gQceKH5OPRx79uyJ7du3l/1eutqloaHhoI9ZW1vbNqeHuT0AoPM7rNMu48aNi7fffrts2U033VSM67jrrruKmc26desWS5cuLS6xTdauXRsbN26MsWPHVrbmAEDnDx9pytQRI0aULTvppJOKOT1al0+dOjVmzpwZffr0KXox7rjjjiJ4XHTRRZWtOQDQIVV8evX777+/+Da71PORrmSZOHFiPPjgg5V+GgCgg6oppe/APY6kS23r6+uLwafGfwBAx3A4x2/f7QIAZCV8AAAde8zH8e707/z8iH/3vTlXVbQuAFCN9HwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwBw/IaP+fPnx8iRI6Ourq4oY8eOjeeee65t/WWXXRY1NTVl5dZbb22PegMAHVTXw9l40KBBMWfOnDj77LOjVCrFo48+Gtdcc0388pe/jPPOO6/Y5uabb46//uu/bvudE088sfK1BgCqI3xcffXVZff/7u/+rugNWblyZVv4SGGjoaGhsrUEADqNIx7zsW/fvli4cGHs2rWrOP3S6vHHH49+/frFiBEjYtasWfHRRx996uO0tLREc3NzWQEAOq/D6vlI3n777SJs7N69O3r16hWLFy+Oc889t1j3jW98I4YOHRoDBw6MNWvWxF133RVr166Nn/3sZ4d8vMbGxpg9e/bRvQoAoMOoKaXBG4dhz549sXHjxmhqaop/+Zd/iX/8x3+M5cuXtwWQA7300ksxbty4WLduXZx55pmH7PlIpVXq+Rg8eHDx+GlQa6Wd/p2fH/HvvjfnqorWBQA6i3T8rq+v/0zH78Pu+ejevXucddZZxc+jR4+ON954I370ox/FQw899Iltx4wZU9x+Wviora0tCgBQHY56no/9+/eX9VwcaPXq1cXtgAEDjvZpAIBO4rB6PtIA0kmTJsWQIUNix44d8cQTT8SyZcvi+eefj/Xr1xf3v/KVr0Tfvn2LMR8zZsyISy+9tJgbBADgsMPHtm3b4pvf/GZs3ry5OK+TQkUKHl/+8pdj06ZN8eKLL8bcuXOLK2DSuI3JkyfH3Xff7Z0GAI4sfDz88MOHXJfCRhp4CgDwaXy3CwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAHL/hY/78+TFy5Mioq6srytixY+O5555rW7979+6YNm1a9O3bN3r16hWTJ0+OrVu3tke9AYBqCB+DBg2KOXPmxKpVq+LNN9+MK664Iq655pr41a9+VayfMWNGPPPMM7Fo0aJYvnx5fPDBB3Hddde1V90BgA6oplQqlY7mAfr06RP33ntv/Omf/mmceuqp8cQTTxQ/J7/5zW/i85//fKxYsSIuuuiiz/R4zc3NUV9fH01NTUXvSqWd/p2fH/HvvjfnqorWBQA6i8M5fh/xmI99+/bFwoULY9euXcXpl9Qbsnfv3hg/fnzbNsOHD48hQ4YU4QMAIOl6uG/D22+/XYSNNL4jjetYvHhxnHvuubF69ero3r179O7du2z7/v37x5YtWw75eC0tLUU5MDkBAJ3XYfd8nHPOOUXQeP311+O2226LKVOmxK9//esjrkBjY2PRTdNaBg8efMSPBQB0wvCRejfOOuusGD16dBEcRo0aFT/60Y+ioaEh9uzZE9u3by/bPl3tktYdyqxZs4rzQ61l06ZNR/ZKAIDqmOdj//79xWmTFEa6desWS5cubVu3du3a2LhxY3Ga5lBqa2vbLt1tLQBA53VYYz5SL8WkSZOKQaQ7duwormxZtmxZPP/888Upk6lTp8bMmTOLK2BSiLjjjjuK4PFZr3QBADq/wwof27Zti29+85uxefPmImykCcdS8Pjyl79crL///vujS5cuxeRiqTdk4sSJ8eCDD7ZX3QGAapzno9LM8wEAHU+WeT4AAI6E8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQAcv+GjsbExLrzwwjj55JPjtNNOi2uvvTbWrl1bts1ll10WNTU1ZeXWW2+tdL0BgGoIH8uXL49p06bFypUr44UXXoi9e/fGhAkTYteuXWXb3XzzzbF58+a2cs8991S63gBAB9X1cDZesmRJ2f0FCxYUPSCrVq2KSy+9tG35iSeeGA0NDZWrJQDQaRzVmI+mpqbitk+fPmXLH3/88ejXr1+MGDEiZs2aFR999NHR1RIAqM6ejwPt378/pk+fHhdffHERMlp94xvfiKFDh8bAgQNjzZo1cddddxXjQn72s58d9HFaWlqK0qq5uflIqwQAdObwkcZ+vPPOO/Hqq6+WLb/lllvafj7//PNjwIABMW7cuFi/fn2ceeaZBx3EOnv27COtBgBQDaddbr/99nj22Wfj5ZdfjkGDBn3qtmPGjClu161bd9D16bRMOn3TWjZt2nQkVQIAOmPPR6lUijvuuCMWL14cy5Yti2HDhv3B31m9enVxm3pADqa2trYoAEB16Hq4p1qeeOKJePrpp4u5PrZs2VIsr6+vj549exanVtL6r3zlK9G3b99izMeMGTOKK2FGjhzZXq8BAOis4WP+/PltE4kd6JFHHokbb7wxunfvHi+++GLMnTu3mPtj8ODBMXny5Lj77rsrW2sAoHpOu3yaFDbSRGQAAIfiu10AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAOH7DR2NjY1x44YVx8sknx2mnnRbXXnttrF27tmyb3bt3x7Rp06Jv377Rq1evmDx5cmzdurXS9QYAqiF8LF++vAgWK1eujBdeeCH27t0bEyZMiF27drVtM2PGjHjmmWdi0aJFxfYffPBBXHfdde1RdwCgA+p6OBsvWbKk7P6CBQuKHpBVq1bFpZdeGk1NTfHwww/HE088EVdccUWxzSOPPBKf//zni8By0UUXVbb2AEB1jflIYSPp06dPcZtCSOoNGT9+fNs2w4cPjyFDhsSKFSsO+hgtLS3R3NxcVgCAzuuIw8f+/ftj+vTpcfHFF8eIESOKZVu2bInu3btH7969y7bt379/se5Q40jq6+vbyuDBg4+0SgBAZw4faezHO++8EwsXLjyqCsyaNavoQWktmzZtOqrHAwA60ZiPVrfffns8++yz8corr8SgQYPaljc0NMSePXti+/btZb0f6WqXtO5gamtriwIAVIfD6vkolUpF8Fi8eHG89NJLMWzYsLL1o0ePjm7dusXSpUvblqVLcTdu3Bhjx46tXK0BgOro+UinWtKVLE8//XQx10frOI40VqNnz57F7dSpU2PmzJnFINS6urq44447iuDhShcA4LDDx/z584vbyy67rGx5upz2xhtvLH6+//77o0uXLsXkYulKlokTJ8aDDz7o3QYADj98pNMuf0iPHj1i3rx5RQEA+Djf7QIAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAMd3+HjllVfi6quvjoEDB0ZNTU089dRTZetvvPHGYvmB5corr6xknQGAagofu3btilGjRsW8efMOuU0KG5s3b24rTz755NHWEwDoJLoe7i9MmjSpKJ+mtrY2GhoajqZeAEAn1S5jPpYtWxannXZanHPOOXHbbbfFhx9+eMhtW1paorm5uawAAJ1XxcNHOuXy2GOPxdKlS+OHP/xhLF++vOgp2bdv30G3b2xsjPr6+rYyePDgSlcJAOjIp13+kOuvv77t5/PPPz9GjhwZZ555ZtEbMm7cuE9sP2vWrJg5c2bb/dTzIYAAQOfV7pfannHGGdGvX79Yt27dIceH1NXVlRUAoPNq9/Dx/vvvF2M+BgwY0N5PBQB0xtMuO3fuLOvF2LBhQ6xevTr69OlTlNmzZ8fkyZOLq13Wr18fd955Z5x11lkxceLEStcdAKiG8PHmm2/G5Zdf3na/dbzGlClTYv78+bFmzZp49NFHY/v27cVEZBMmTIi/+Zu/KU6vAAAcdvi47LLLolQqHXL9888/f7R1AgA6Md/tAgBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAx3f4eOWVV+Lqq6+OgQMHRk1NTTz11FNl60ulUnzve9+LAQMGRM+ePWP8+PHx7rvvVrLOAEA1hY9du3bFqFGjYt68eQddf88998QDDzwQP/nJT+L111+Pk046KSZOnBi7d++uRH0BgA6u6+H+wqRJk4pyMKnXY+7cuXH33XfHNddcUyx77LHHon///kUPyfXXX3/0NQYAOrSKjvnYsGFDbNmypTjV0qq+vj7GjBkTK1asOOjvtLS0RHNzc1kBADqvioaPFDyS1NNxoHS/dd3HNTY2FgGltQwePLiSVQIAjjPH/GqXWbNmRVNTU1vZtGnTsa4SANBRwkdDQ0Nxu3Xr1rLl6X7ruo+rra2Nurq6sgIAdF4VDR/Dhg0rQsbSpUvblqUxHOmql7Fjx1byqQCAarnaZefOnbFu3bqyQaarV6+OPn36xJAhQ2L69Onxt3/7t3H22WcXYeS73/1uMSfItddeW+m6AwDVED7efPPNuPzyy9vuz5w5s7idMmVKLFiwIO68885iLpBbbrkltm/fHpdcckksWbIkevToUdmaAwAdUk0pTc5xHEmnadJVL2nwaXuM/zj9Oz8/4t99b85VFa0LAHQWh3P8PuZXuwAA1UX4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAADp2+PjBD34QNTU1ZWX48OGVfhoAoIPq2h4Pet5558WLL774/5+ka7s8DQDQAbVLKkhho6GhoT0eGgDo4NplzMe7774bAwcOjDPOOCNuuOGG2Lhx4yG3bWlpiebm5rICAHReFQ8fY8aMiQULFsSSJUti/vz5sWHDhvjSl74UO3bsOOj2jY2NUV9f31YGDx5c6SoBAMeRmlKpVGrPJ9i+fXsMHTo07rvvvpg6depBez5SaZV6PlIAaWpqirq6uorX5/Tv/PyIf/e9OVdVtC4A0Fmk43fqRPgsx+92Hwnau3fv+NznPhfr1q076Pra2tqiAADVod3n+di5c2esX78+BgwY0N5PBQBUY/j41re+FcuXL4/33nsvXnvttfjqV78aJ5xwQnz961+v9FMBAB1QxU+7vP/++0XQ+PDDD+PUU0+NSy65JFauXFn8DABQ8fCxcOHCSj8kANCJ+G4XACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICsuuZ9uo7t9O/8/Ih/9705V0U11bkjvlcA5KHnAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK5OMZdIRJ906mjofKx3xfYb2+gz6P925nd6B93d6PgCArIQPACAr4QMAyEr4AAA6R/iYN29enH766dGjR48YM2ZM/OIXv2ivpwIAqj18/PSnP42ZM2fG97///Xjrrbdi1KhRMXHixNi2bVt7PB0AUO3h47777oubb745brrppjj33HPjJz/5SZx44onxT//0T+3xdABANc/zsWfPnli1alXMmjWrbVmXLl1i/PjxsWLFik9s39LSUpRWTU1NxW1zc3O0h/0tH0VHczTvhdeb53mhPRzt59f/6c5t/3G2v2t9zFKplD98/Pa3v419+/ZF//79y5an+7/5zW8+sX1jY2PMnj37E8sHDx5c6ap1WPVzo6ocq9dbbe8znZ//0xyL/xs7duyI+vr643uG09RDksaHtNq/f3/87//+b/Tt2zdqamoqnspSqNm0aVPU1dVV9LGpHO3UcWirjkE7dQzNHbydUo9HCh4DBw78g9tWPHz069cvTjjhhNi6dWvZ8nS/oaHhE9vX1tYW5UC9e/eO9pQatSM2bLXRTh2HtuoYtFPHUNeB2+kP9Xi024DT7t27x+jRo2Pp0qVlvRnp/tixYyv9dABAB9Mup13SaZQpU6bEn/zJn8QXv/jFmDt3buzatau4+gUAqG7tEj6+9rWvxf/8z//E9773vdiyZUt84QtfiCVLlnxiEGpu6fROmnvk46d5OL5op45DW3UM2qljqK2idqopfZZrYgAAKsR3uwAAWQkfAEBWwgcAkJXwAQBkVTXhY968eXH66adHjx49YsyYMfGLX/ziWFepqvzgBz8oZqw9sAwfPrxt/e7du2PatGnFzLa9evWKyZMnf2Kiuo0bN8ZVV11VfEnhaaedFt/+9rfj97///TF4NZ3LK6+8EldffXUxK2Fql6eeeqpsfRqTnq5cGzBgQPTs2bP4nqZ33323bJs0K/ENN9xQTIyUJgmcOnVq7Ny5s2ybNWvWxJe+9KXiM5hmcbznnnuyvL5qaacbb7zxE5+xK6+8smwb7dT+0leGXHjhhXHyyScX+6lrr7021q5dW7bN7grt75YtWxYXXHBBcXXMWWedFQsWLIiOoirCx09/+tNi7pF0CdNbb70Vo0aNiokTJ8a2bduOddWqynnnnRebN29uK6+++mrbuhkzZsQzzzwTixYtiuXLl8cHH3wQ1113Xdv69H1B6YOYvrjwtddei0cffbT4oKWDIkcnzcGTPhMpoB9MOvg88MADxbdTv/7663HSSScVn5+0A22VDmi/+tWv4oUXXohnn322OFDecsstZdNGT5gwIYYOHVp88eS9995bBNK///u/z/Iaq6GdkhQ2DvyMPfnkk2XrtVP7S/uvFCxWrlxZvM979+4t3tPUfpXc323YsKHY5vLLL4/Vq1fH9OnT48///M/j+eefz/6aj0ipCnzxi18sTZs2re3+vn37SgMHDiw1NjYe03pVk+9///ulUaNGHXTd9u3bS926dSstWrSobdl//Md/pEvASytWrCju/+u//mupS5cupS1btrRtM3/+/FJdXV2ppaUlwyuoDuk9X7x4cdv9/fv3lxoaGkr33ntvWXvV1taWnnzyyeL+r3/96+L33njjjbZtnnvuuVJNTU3pv//7v4v7Dz74YOmUU04pa6u77rqrdM4552R6ZZ27nZIpU6aUrrnmmkP+jnY6NrZt21a878uXL6/o/u7OO+8snXfeeWXP9bWvfa00ceLEUkfQ6Xs+UnJMCT51Fbfq0qVLcX/FihXHtG7VJnXVpy7jM844o/gLLHUrJql90l8HB7ZROiUzZMiQtjZKt+eff37ZRHXpr+/0l1r6S472kf66ShMFHtg26bsb0qnLA9smdeGnGY1bpe3T5yz1lLRuc+mllxZfv3Bg+6Xu6P/7v//L+po6s9QNn7rozznnnLjtttviww8/bFunnY6Npqam4rZPnz4V3d+tWLGi7DFat+kox7VOHz5++9vfFl1YH59dNd1PO1XySAer1G2YZrqdP39+cVBL55XTNyCmdkg7u49/oeCBbZRuD9aGretoH63v7ad9ftJtOuAdqGvXrsXOVvvlk065PPbYY8X3aP3whz8suvMnTZpU7P8S7ZRf+l6zdDrk4osvjhEjRhTLKrW/23KIbVJA+d3vfhdVOb06fFzaCbYaOXJkEUbSeeV//ud/LgYxAkfn+uuvb/s5/dWcPmdnnnlm0Rsybty4Y1q3apXGfrzzzjtl49uokp6Pfv36xQknnPCJkcTpfkNDwzGrV7VLqf9zn/tcrFu3rmiHdHps+/bth2yjdHuwNmxdR/tofW8/7fOTbj8+eDuNyk9XVmi/Yyed3kz7v/QZS7RTXrfffnsxqPfll1+OQYMGtS2v1P6u4RDbpCuZOsIfdJ0+fKTurdGjRxddkQd2haX7Y8eOPaZ1q2bp8r7169cXl2+m9unWrVtZG6VzzGlMSGsbpdu33367bOeZRpKnD9q55557TF5DNRg2bFixkzuwbVK3bhojcGDbpB1pOpfd6qWXXio+Z6mHq3WbdGVFOtd9YPulsQmnnHJK1tdULd5///1izEf6jCXaKY80HjgFj8WLFxfvb/oMHahS+7uxY8eWPUbrNh3muFaqAgsXLixG5y9YsKAY8X3LLbeUevfuXTaSmPb1V3/1V6Vly5aVNmzYUPq3f/u30vjx40v9+vUrRoInt956a2nIkCGll156qfTmm2+Wxo4dW5RWv//970sjRowoTZgwobR69erSkiVLSqeeempp1qxZx/BVdQ47duwo/fKXvyxK2iXcd999xc//9V//VayfM2dO8Xl5+umnS2vWrCmuqBg2bFjpd7/7XdtjXHnllaU//uM/Lr3++uulV199tXT22WeXvv71r7etTyP8+/fvX/qzP/uz0jvvvFN8Jk888cTSQw89dExec2drp7TuW9/6VnG1RPqMvfjii6ULLrigaIfdu3e3PYZ2an+33XZbqb6+vtjfbd68ua189NFHbdvcWoH93X/+538WbfPtb3+7uFpm3rx5pRNOOKHYtiOoivCR/PjHPy4au3v37sWltytXrjzWVaoq6RKwAQMGFO//H/3RHxX3161b17Y+Hcj+4i/+orjML32gvvrVrxYf2AO99957pUmTJpV69uxZBJcUaPbu3XsMXk3n8vLLLxcHs4+XdOlm6+W23/3ud4uDUgrx48aNK61du7bsMT788MPiINarV6/icsCbbrqpOCAe6N///d9Ll1xySfEY6f9ACjVUpp3SgS0dqNIBKl3GOXTo0NLNN9/8iT+wtFP7O1gbpfLII49UfH/38ssvl77whS8U+9Uzzjij7DmOdzXpn2Pd+wIAVI9OP+YDADi+CB8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEARE7/D6n7lmjwZ8fvAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = plt.hist([simpmarket(0.5, play_cnt=1000, stock_num=9, commission=0, lever = True)[-1] for _ in np.arange(0, trader)], bins = 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建简易的市场模型应用仓位管理\n",
    "import random\n",
    "import matplotlib.pyplot as plt\n",
    "def positmanage(play_cnt=1000, stock_num = 9, commission=0.01):\n",
    "    my_money = np.zeros(play_cnt)\n",
    "    my_money[0] = 1000\n",
    "    win_rate = random.uniform(0.5 ,1)\n",
    "    binomial = np.random.binomial(stock_num, win_rate, play_cnt)\n",
    "    for i in range(1, play_cnt):\n",
    "        once_chip = my_money[i-1] * (win_rate * 1 - (1 - win_rate))/1 #凯利公式下注\n",
    "        if binomial[i] > stock_num//2:\n",
    "            my_money[i] = my_money[i-1] + once_chip\n",
    "        else:\n",
    "            my_money[i] = my_money[i-1] - once_chip\n",
    "        my_money[i] -= commission\n",
    "        if my_money[i] <= 0:\n",
    "            break\n",
    "    return my_money\n",
    "trader = 5\n",
    "_ = [plt.plot(np.arange(5), positmanage(play_cnt=5, stock_num=9, commission=0.01)) for _ in np.arange(0,trader)]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = plt.hist([positmanage(play_cnt=5, stock_num=9, commission=0.01)[-1] for _ in np.arange(0, trader)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.00191053, 0.00047763, 0.0014329 , 0.0042987 , 0.0042987 ,\n",
       "        0.01289611, 0.00859741, 0.02292642, 0.02340405, 0.03582253,\n",
       "        0.04441994, 0.06018185, 0.06830162, 0.08597407, 0.1131992 ,\n",
       "        0.12275187, 0.15475333, 0.17385868, 0.19917327, 0.21206938,\n",
       "        0.22974183, 0.24359321, 0.27272886, 0.26269856, 0.26986306,\n",
       "        0.25696695, 0.25553405, 0.24598137, 0.22830893, 0.2010838 ,\n",
       "        0.19296403, 0.15332043, 0.1232295 , 0.10698996, 0.09743728,\n",
       "        0.07068979, 0.04633047, 0.03725543, 0.03486726, 0.02818039,\n",
       "        0.02053825, 0.01528428, 0.01241848, 0.00716451, 0.00620924,\n",
       "        0.00191053, 0.00047763, 0.00191053, 0.00047763, 0.0014329 ]),\n",
       " array([-3.02496435, -2.81559891, -2.60623346, -2.39686802, -2.18750257,\n",
       "        -1.97813713, -1.76877168, -1.55940624, -1.35004079, -1.14067535,\n",
       "        -0.9313099 , -0.72194446, -0.51257901, -0.30321357, -0.09384812,\n",
       "         0.11551732,  0.32488277,  0.53424821,  0.74361366,  0.9529791 ,\n",
       "         1.16234455,  1.37170999,  1.58107544,  1.79044088,  1.99980633,\n",
       "         2.20917177,  2.41853722,  2.62790266,  2.83726811,  3.04663355,\n",
       "         3.255999  ,  3.46536444,  3.67472989,  3.88409533,  4.09346078,\n",
       "         4.30282622,  4.51219167,  4.72155711,  4.93092256,  5.140288  ,\n",
       "         5.34965345,  5.55901889,  5.76838434,  5.97774978,  6.18711523,\n",
       "         6.39648067,  6.60584612,  6.81521156,  7.02457701,  7.23394245,\n",
       "         7.4433079 ]),\n",
       " <BarContainer object of 50 artists>)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9559/fsBrHn/88XjggQfiqaeeGvLzdHV1FVuvzs7OcpoJAFSxozqVeN++ffGBD3wg7r///pg4ceKQr1u1alU0Njb2bVOnTj2azQQAqrVykgLG2LFjY/fu3f2Op/3Jkye/4fz/+q//KgbCXnnllX3Henp6/u+Jjzsutm/fHmedddYbrmtpaSkG3R5cORFQAKA2lBVOxo0bF01NTbFp06a+6cApbKT9j370o284f8aMGfH000/3O3bLLbcUFZW/+qu/GjRwjB8/vtgAgNpT9iJsqaKxePHimDNnTsydOzfa2tpi//79xeydZNGiRTFlypSiayatg3LOOef0u/6UU04p/n39cQCAIwonCxcujD179sSKFSti165dMXv27Ni4cWPfINkdO3YUM3gAAI5EXamU/0LaacxJGhjb0dERDQ0NlW5O1qphrZBDKbXm/XYcqenB+f/UAVTu81uJAwDIinACAGRFOAEAsiKcAADVPVsHOHoDaw2UBVA5AQAyI5wAAFkRTgCArAgnAEBWhBMAICtm60AVMLsHqCXCCYzCe/cAVDPdOgBAVlROqly134U4VyoYAJWjcgIAZEU4AQCyIpwAAFkRTgCArAgnAEBWhBMAICvCCQCQFeEEAMiKcAIAZEU4AQCyIpwAAFkRTgCArAgnAEBWhBMAICvCCQCQleMq3QA4WN3Kur7/l1pLI/e4rz1sP6WRewoARojKCQCQFZUTqGIqQsBopHICAFR/OFmzZk1MmzYt6uvrY968ebFly5ZBz33kkUdizpw5ccopp8SJJ54Ys2fPji9/+cvDaTMAMIqVHU7Wr18fy5Yti9bW1ti2bVvMmjUrFixYEO3t7QOef9ppp8XNN98cmzdvjv/8z/+MJUuWFNu3v/3tkWg/ADDK1JVK5fVOp0rJBRdcEPfcc0+x39PTE1OnTo3rr78+li9fPqTHeNe73hVXXHFF3H777UM6v7OzMxobG6OjoyMaGhqi1h08o2U0q+RsncHOrxbGnAA5ONLP77IqJwcOHIitW7dGc3Pzaw8wZkyxnyojh5Ny0KZNm2L79u3xq7/6q+U8NQBQI8qarbN3797o7u6OSZMm9Tue9p9//vlBr0uJacqUKdHV1RVjx46Nz33uc3HZZZcNen46L20HJy8AoDYck6nEJ598cjz11FPxs5/9rKicpDEr06dPj0svvXTA81etWhUrV648Fk2jxlV79w1A1Ho4mThxYlH52L17d7/jaX/y5MmDXpe6fs4+++zi/2m2znPPPVcEkMHCSUtLSxFgDq6cpHEtwNBY/wSoZmWNORk3blw0NTUV1Y9eaUBs2p8/f/6QHyddc3C3zeuNHz++GDhz8AYA1Iayu3VSRWPx4sXF2iVz586Ntra22L9/fzE9OFm0aFExviRVRpL0bzr3rLPOKgLJhg0binVO7r333pH/bgCA2gsnCxcujD179sSKFSti165dRTfNxo0b+wbJ7tixo+jG6ZWCy5/8yZ/Ej370ozjhhBNixowZ8eCDDxaPAwAw7HVOKsE6J/1Z56R8Br7+n/x/2oHR5JiscwIAcLQJJwBAVoQTACArwgkAkBXhBADIinACANTevXWAGjaUedzmOAMHEU6oivVcRnLNE0ZhwBFuYFTRrQMAZEXlhFHFSrAA1U84gRoyWHireK+IVAkcRLcOAJAVlROg+pkRBKOKcALUBjN+oGro1gEAsiKcAABZEU4AgKwYcwKQGJMC2RBOgOGxRgkwwnTrAABZUTmhKvljvUZWjgVqksoJAJAV4QQAyIpwAgBkxZgT4NAM8AGOMeEEYCjcXBCOGd06AEBWhBMAICvCCQCQFWNOqkTdSoMSAagNKicAQFaEEwAgK7p1oIaV4jDdhXoTgWqpnKxZsyamTZsW9fX1MW/evNiyZcug595///3xnve8J0499dRia25uPuT5AEBtKzucrF+/PpYtWxatra2xbdu2mDVrVixYsCDa29sHPP+xxx6Lq6++Ov7lX/4lNm/eHFOnTo3LL788XnrppZFoPwAwytSVSuUtaZgqJRdccEHcc889xX5PT08ROK6//vpYvnz5Ya/v7u4uKijp+kWLFg3pOTs7O6OxsTE6OjqioaEhalGtz9YptfZ/m1pR/Rh161AeK8TCiHx+l1U5OXDgQGzdurXomul7gDFjiv1UFRmKV199NX7xi1/EaaedNug5XV1dxTd08AYA1IaywsnevXuLysekSZP6HU/7u3btGtJj3HTTTXHmmWf2Czivt2rVqiJp9W6pMgOQvVTSO9QG5DeV+M4774yHH344vva1rxWDaQfT0tJSlIB6t507dx7LZsKo6rY51AZQ9VOJJ06cGGPHjo3du3f3O572J0+efMhr77777iKc/PM//3Ocd955hzx3/PjxxQYDjbl5/fgTAGq4cjJu3LhoamqKTZs29R1LA2LT/vz58we97q677orbb789Nm7cGHPmzBleiwGAUa3sRdjSNOLFixcXIWPu3LnR1tYW+/fvjyVLlhRfTzNwpkyZUowbST71qU/FihUr4qGHHirWRukdm3LSSScVG4Or9Rk6fT7+upk6H69YS2B4DjfuxGwfOLJwsnDhwtizZ08ROFLQmD17dlER6R0ku2PHjmIGT6977723mOXz+7//+/0eJ62T8vGP+5QBAIa5zkkl1Oo6JyonA1dOGDqDXqtM/r+OIb91TgAAjjbhBADIinACAGRFOAEAsiKcAADVPZUYyIOZOMBopXICAGRFOAEAsqJbh3xYbA0AlRMAIDfCCQCQFeEEAMiKcAIAZMWAWMiUdUyAWiWcAOSibgiBtGRWG6Ofbh0AICvCCQCQFd06HHsWWwPgEFROAICsCCcAQFaEEwAgK8IJAJAV4QQAyIpwAgBkRTgBALJinZPM1K10PxUAapvKCQCQFZUTqBB3Heao3BzQjQEZBYSTCtONAwD96dYBALIinAAAWRFOAICsGHMCR4HBrgDHuHKyZs2amDZtWtTX18e8efNiy5Ytg5777LPPxu/93u8V59fV1UVbW9swmktV+Xhp4A0ARjKcrF+/PpYtWxatra2xbdu2mDVrVixYsCDa29sHPP/VV1+N6dOnx5133hmTJ08u9+kAKHeq8eE2GG3hZPXq1bF06dJYsmRJzJw5M9auXRsTJkyIdevWDXj+BRdcEJ/+9Kfjfe97X4wfP34k2gwAjGJlhZMDBw7E1q1bo7m5+bUHGDOm2N+8efOINaqrqys6Ozv7bQBAbSgrnOzduze6u7tj0qRJ/Y6n/V27do1Yo1atWhWNjY1929SpU0fssQGAvGU5lbilpSU6Ojr6tp07d1a6SQCjhzEpjKapxBMnToyxY8fG7t27+x1P+yM52DWNTTE+BQBqU1mVk3HjxkVTU1Ns2rSp71hPT0+xP3/+/KPRPgCgxpS9CFuaRrx48eKYM2dOzJ07t1i3ZP/+/cXsnWTRokUxZcqUYtxI7yDa733ve33/f+mll+Kpp56Kk046Kc4+++yR/n4AgFoLJwsXLow9e/bEihUrikGws2fPjo0bN/YNkt2xY0cxg6fXyy+/HOeff37f/t13311sl1xySTz22GMj9X0AAKNEXalUyn7JzjSVOM3aSYNjGxoaYjSpWzmKB5/V8Gqwlq+nquX/sUCVONLPb/fWgSMgfAAcPcIJw1fDFRIAamSdEwCgdgknAEBWhBMAICvCCQCQFQNiAejvcPfXMdWYo0w4YehqaFaOqcIAlaNbBwDIispJBYzqVWEBYJhUTgCArKicUHOMJwHIm8oJAJAVlZNjxDgTABgalRMAICvCCQCQFd061PRiawDkRzgBYGSXt08scc8wCCeMOqYKA1Q3Y04AgKyonNQyY0sAyJBwAsCxH5diTAqHIJxQdYwpgVFAeOEQhJOjuApsqdUPFwCUy4BYACArKicA5MdaKjVNOKkFZuUAUEWEE44pg1kBOBzhBIDqZMbPqCWcHMPZOwDA4QknoymAGFsCwCggnAAwOun2qVrCCSM6mLUu/LADVcJ05dG1CNuaNWti2rRpUV9fH/PmzYstW7Yc8vyvfOUrMWPGjOL8c889NzZs2HCk7aW3+2agDQBqMZysX78+li1bFq2trbFt27aYNWtWLFiwINrb2wc8/4knnoirr746PvShD8WTTz4ZV111VbE988wzI9H+0WEUhY1UXTnUBlB11ZVDbRwVdaVSeTWrVCm54IIL4p577in2e3p6YurUqXH99dfH8uXL33D+woULY//+/fEP//APfccuvPDCmD17dqxdu3ZIz9nZ2RmNjY3R0dERDQ0NUYnBrgffJ+ewg2AHCxYfH+S6YxREhAOAY6zGu4U6j/Dzu6wxJwcOHIitW7dGS0tL37ExY8ZEc3NzbN68ecBr0vFUaTlYqrT8/d///aDP09XVVWy90jfV+00eUz9/7b91LeV8sA/Szo//3/fxeh1DCA2NMfC15TjGrx4AQ6mu/P/PuEE1Ng7v+grq/dwusw5SXjjZu3dvdHd3x6RJk/odT/vPP//8gNfs2rVrwPPT8cGsWrUqVq5c+YbjqUJTHRqPwtnlPebReQQARtzhwsfRvv4Y2LdvX1FBqerZOqkyc3C1JXUd/eQnP4k3velNUXeEfXwpvaVws3PnzmPaNTQaeO2Gx+s3PF6/4fH6DY/Xb/iv3fe+970488wzy7q2rHAyceLEGDt2bOzevbvf8bQ/efLkAa9Jx8s5Pxk/fnyxHeyUU06JkZDeXN5gR8ZrNzxev+Hx+g2P1294vH5HbsqUKcUQkHKUdfa4ceOiqakpNm3a1K+qkfbnz58/4DXp+MHnJ48++uig5wMAta3sbp3U3bJ48eKYM2dOzJ07N9ra2orZOEuWLCm+vmjRoiIlpXEjyQ033BCXXHJJfOYzn4krrrgiHn744fj3f//3uO+++0b+uwEAai+cpKnBe/bsiRUrVhSDWtOU4I0bN/YNet2xY0e/8s1FF10UDz30UNxyyy3xsY99LN7xjncUM3XOOeecOJZSN1Fam+X13UUcntdueLx+w+P1Gx6v3/B4/Srz2pW9zgkAQHbL1wMAHC3CCQCQFeEEAMiKcAIAZKWmw0m6f0+abZRWnX3qqacq3Zyq8IMf/KC4w/Tb3/72OOGEE+Kss84qRmOn+y4xsDVr1sS0adOivr6+uHHmli1bKt2kqpCWI0g3GT355JPjjDPOKO5mvn379ko3qyrdeeedxe+5P/uzP6t0U6rGSy+9FO9///uLlcnT77pzzz23WAaDw0u3ubn11lv7fU7cfvvtZd1fp6bDyV/8xV+UvaRurUv3UEoL733+85+PZ599Nv7yL/+yuLt0mibOG61fv75YGygFuG3btsWsWbOKG1+2t7dXumnZ+853vhPXXXddfPe73y0WbvzFL34Rl19+ebGuEkP3b//2b8XP63nnnVfpplSNn/70p3HxxRfH8ccfH//4j/9YLL+e1uo69dRTK920qvCpT30q7r333rjnnnviueeeK/bvuuuu+OxnPzv0BynVqA0bNpRmzJhRevbZZ1OUKz355JOVblLVuuuuu0pvf/vbK92MLM2dO7d03XXX9e13d3eXzjzzzNKqVasq2q5q1N7eXvysfuc736l0U6rGvn37Su94xztKjz76aOmSSy4p3XDDDZVuUlW46aabSu9+97sr3YyqdcUVV5Q++MEP9jv2u7/7u6VrrrlmyI9Rk5WTdG+fpUuXxpe//OWYMGFCpZtT9To6OuK0006rdDOyk7q6tm7dGs3NzX3H0gKFaX/z5s0VbVu1vs8S77WhS5WntDL3we9BDu8b3/hGsQr6e9/73qJL8fzzz4/777+/0s2qGmnx1XTbmu9///vF/n/8x3/E448/Hr/5m79Z3XclPppSn9cf/dEfxUc+8pHizZfGUHDkXnjhhaJUd/fdd1e6KdnZu3dv0ffau3pyr7SfuscYutSVmMZLpFL7sV5dulqlW4WkrsTUrUN5XnzxxaJbInXJpi7r9Br+6Z/+aXF/uXT7Fg5t+fLlxR2JZ8yYUdwsOP0e/OQnPxnXXHNNDNWY0fRipAFfh9rSB0L6IN23b1+0tLRUuslV+fq9fsDYb/zGbxR/XaRKFBzNCsAzzzxTfOByeDt37izua/a3f/u3xUBsyg/D73rXu+KOO+4oqiYf/vCHi99xaXwdh/d3f/d3xXsv3bomBeQvfelLxR+w6d+aW74+3e/nf/7nfw55zvTp0+MP/uAP4pvf/GbxYdsrpbqU7lKqK+fFG02G+vqlvxySl19+OS699NK48MIL44tf/GLZt8OulW6d1G341a9+tZhp0iv95fXKK6/E17/+9Yq2r1p89KMfLV6rf/3Xfy1G/3N46f5lv/M7v1P8Xjv491z6vZd+VtNMxYO/Rn9ve9vb4rLLLou/+Zu/6TuWKimf+MQnij/KOLSpU6cWf/CmPyp6pdfuwQcfHHLVeNR065x++unFdjh//dd/XbxIvdKHbJo9kWZVpGmetWqor1+Sfjh/7dd+LZqamuILX/iCYDKIFOTSa5T6XnvDSfqLLO2nD1wOLf3ddP3118fXvva1eOyxxwSTMvz6r/96PP300/2OpTvHpzL7TTfdJJgcRuo+fP209TR+IoUWDu/VV199w+dCes+l339DNWrCyVC99a1v7bd/0kknFf+medhvectbKtSq6pGCSaqYpB/SVKZLFZdekydPrmjbcpT6rFOlJI1vmjt3brS1tRVTYdMHBYeW/upKZeFUNUlrnaS7oCeNjY3F2gkMLr1erx+bc+KJJxZrdhizc3g33nhjMagzdeukantam+i+++4rNg7vyiuvLMaYpM/bX/mVX4knn3wyVq9eHR/84AdjyEo17r//+79NJS7DF77wheL1GmhjYJ/97GdLb33rW0vjxo0rphZ/97vfrXSTqsJg77P0HqR8phKX55vf/GbpnHPOKY0fP75YduK+++6rdJOqRmdnZ/FeS7/36uvrS9OnTy/dfPPNpa6uriE/xqgZcwIAjA4GCwAAWRFOAICsCCcAQFaEEwAgK8IJAJAV4QQAyIpwAgBkRTgBALIinAAAWRFOAICsCCcAQFaEEwAgcvL/AOnSxSdShNQoAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.hist(np.random.normal(loc=-2, scale=0.5, size=10000), bins=50, density=True,color='g')\n",
    "plt.hist(np.random.normal(loc=0, scale=1, size=10000), bins=50, density=True, color='b')\n",
    "plt.hist(np.random.normal(loc = 2, scale=1.5, size=10000), bins=50,density=True, color='r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.00046169, 0.00046169, 0.        , 0.00230844, 0.00323182,\n",
       "        0.00230844, 0.00646363, 0.00877207, 0.01200389, 0.01015714,\n",
       "        0.01800584, 0.02585454, 0.03277986, 0.06140452, 0.06694478,\n",
       "        0.0817188 , 0.10064801, 0.13065774, 0.13388956, 0.16851617,\n",
       "        0.18606031, 0.22114861, 0.24561808, 0.23546094, 0.2682408 ,\n",
       "        0.28301482, 0.27008755, 0.25762197, 0.24654146, 0.24607977,\n",
       "        0.22068692, 0.19667914, 0.1671311 , 0.15235708, 0.12373242,\n",
       "        0.09002918, 0.08679737, 0.0623279 , 0.05355582, 0.03647336,\n",
       "        0.03185648, 0.02216103, 0.01431233, 0.00969545, 0.00877207,\n",
       "        0.00369351, 0.00369351, 0.00323182, 0.00230844, 0.00092338]),\n",
       " array([-3.62297764, -3.40638121, -3.18978478, -2.97318835, -2.75659192,\n",
       "        -2.53999549, -2.32339906, -2.10680263, -1.8902062 , -1.67360977,\n",
       "        -1.45701334, -1.24041691, -1.02382048, -0.80722405, -0.59062762,\n",
       "        -0.37403119, -0.15743476,  0.05916167,  0.2757581 ,  0.49235453,\n",
       "         0.70895096,  0.92554739,  1.14214382,  1.35874025,  1.57533668,\n",
       "         1.79193311,  2.00852954,  2.22512597,  2.4417224 ,  2.65831883,\n",
       "         2.87491526,  3.09151169,  3.30810812,  3.52470455,  3.74130098,\n",
       "         3.95789741,  4.17449384,  4.39109027,  4.6076867 ,  4.82428313,\n",
       "         5.04087956,  5.25747599,  5.47407242,  5.69066885,  5.90726528,\n",
       "         6.12386171,  6.34045814,  6.55705457,  6.773651  ,  6.99024743,\n",
       "         7.20684386]),\n",
       " <BarContainer object of 50 artists>)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.hist(np.random.normal(loc=0, scale=1, size=10000)*0.5-2, bins=50, density=True,color='g')\n",
    "plt.hist(np.random.normal(loc=0, scale=1, size=10000), bins=50, density=True, color='b')\n",
    "plt.hist(np.random.normal(loc = 0, scale=1, size=10000)*1.5+2, bins=50,density=True, color='r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "#概率密度函数\n",
    "_, bins, _ = plt.hist(np.random.normal(loc=0, scale=1, size=10000), bins=50, density=True)\n",
    "plt.plot(bins, 1. / (np.sqrt(2 * np.pi) * 1) * np.exp(-(bins - 0) ** 2 / (2 * 1 ** 2)), label='$mu$=%.1f, $sigma^2$=%.1f' % (0, 1), lw=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#概率密度函数曲线\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats\n",
    "\n",
    "def draw_normal(mu=0, sigma=1, size=10000):\n",
    "    #np.random.send(0)\n",
    "    dnormal = np.random.normal(mu, sigma, size=size)\n",
    "    #dnormal = mu+ sigma * np.random.randn(size) #np.random.randn(size)标准正态分布\n",
    "    _, bins, _ = plt.hist(dnormal, bins=50, density=True)\n",
    "    # 拟合曲线\n",
    "    y = scipy.stats.norm.pdf(bins, mu, sigma)\n",
    "    plt.plot(bins, y , label='$mu$=%.1f, $sigma^2$=%.1f' % (mu, sigma)) #scipt.stats.norm方式求得函数值\n",
    "    plt.xlabel('Expectation')\n",
    "    plt.ylabel('Probability')\n",
    "    plt.title('histogram of normal distribution:')\n",
    "\n",
    "draw_normal(0,1,10000)\n",
    "draw_normal(-2,0.5,10000)\n",
    "draw_normal(2,1.5,10000)\n",
    "plt.legend(loc=0,ncol=1)\n",
    " #loc自适应，ncol列的数量\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "def draw_random_walk():\n",
    "    walk_steps = 2000\n",
    "    walk_path = random_walk(walk_steps)\n",
    "    #统计漫步过程中，终点，前进和后退最大的距离\n",
    "    start_y = 0\n",
    "    start_x = 0\n",
    "    end_y = walk_path[-1]\n",
    "    end_x = walk_steps-1\n",
    "\n",
    "    max_y = walk_path.max()\n",
    "    max_x = walk_path.argmax()\n",
    "\n",
    "    min_y = walk_path.min()\n",
    "    min_x = walk_path.argmin()\n",
    "    \n",
    "    x = np.linspace(0, 2000, num=walk_steps)\n",
    "\n",
    "    #绘制出漫步的足迹\n",
    "    plt.plot(x, walk_path, color='b', linewidth=1, label='walk step')\n",
    "\n",
    "    #添加坐标\n",
    "    #起点坐标\n",
    "    plt.annotate(\n",
    "        'start:({},{})'.format(start_x,start_y),\n",
    "        xy=(start_x,start_y),\n",
    "        xycoords='data',\n",
    "        xytext=(+50, +20),\n",
    "        textcoords='offset points',\n",
    "        fontsize=8,\n",
    "        bbox=dict(boxstyle='round,pad=0.5', fc='yellow',alpha = 0.5), #增加外框\n",
    "        arrowprops=dict(arrowstyle='->', connectionstyle=\"arc3,rad=.2\")\n",
    "    )\n",
    "    #终点坐标\n",
    "    plt.annotate(\n",
    "        'end:({},{})'.format(end_x, end_y),\n",
    "        xy=(end_x,end_y),\n",
    "        xycoords='data',\n",
    "        xytext=(-50, +20),\n",
    "        textcoords='offset points',\n",
    "        fontsize=8,\n",
    "         bbox=dict(boxstyle='round,pad=0.5', fc='yellow',alpha = 0.5), #增加外框\n",
    "        arrowprops=dict(arrowstyle='->', connectionstyle=\"arc3,rad=.2\")\n",
    "    )\n",
    "    #最大距离坐标\n",
    "    plt.annotate(\n",
    "        'max:({},{})'.format(max_x, max_y),\n",
    "        xy=(max_x,max_y),\n",
    "        xycoords='data',\n",
    "        xytext=(-20, +20),\n",
    "        textcoords='offset points',\n",
    "        fontsize=8,\n",
    "        bbox=dict(boxstyle='round,pad=0.5', fc='yellow',alpha = 0.5), #增加外框\n",
    "        arrowprops=dict(arrowstyle='->', connectionstyle=\"arc3,rad=.2\")\n",
    "    )\n",
    "    #最小距离坐标\n",
    "    plt.annotate(\n",
    "        'min:({},{})'.format(min_x, min_y),\n",
    "        xy=(min_x,min_y),\n",
    "        xycoords='data',\n",
    "        xytext=(-20, +20),\n",
    "        textcoords='offset points',\n",
    "        fontsize=8,\n",
    "        bbox=dict(boxstyle='round,pad=0.5', fc='yellow',alpha = 0.5), #增加外框\n",
    "        arrowprops=dict(arrowstyle='->', connectionstyle=\"arc3,rad=.2\")\n",
    "    )\n",
    "\n",
    "\n",
    "def random_walk(steps):\n",
    "    draws =  np.random.randint(-1, 2, steps)\n",
    "    #print(f'random walk direction is {draws}')\n",
    "    index = 0\n",
    "    for i in draws:\n",
    "        if index > 0:\n",
    "            draws[index] = draws[index-1] +  draws[index]\n",
    "        index = index + 1\n",
    "    draws[0] = 0\n",
    "    return draws\n",
    "\n",
    "draw_random_walk()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def simplot_random_walk():\n",
    "    _ = [plt.plot(np.arange(2000), random_walk(2000), c='b', alpha=0.05) for _ in np.arange(0,1000)]\n",
    "    plt.xlabel('游走步数')\n",
    "    plt.ylabel('分布轨迹')\n",
    "    plt.title(u'模拟随机漫步')\n",
    "    plt.show()\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False \n",
    "simplot_random_walk()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def sim_normal_distribution():\n",
    "    end_path = [random_walk(2000)[-1] for _ in np.arange(0, 1000)]\n",
    "    _, bins, _ = plt.hist(end_path, bins=50, density=True)\n",
    "    plt.xlabel('游走步数')\n",
    "    plt.ylabel('分布轨迹')\n",
    "    plt.title(u'模拟随机漫步')\n",
    "    plt.show()\n",
    "\n",
    "sim_normal_distribution()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
